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ELECTROMAGNETISM
1.   Define the following terms & phrases             (charge, static electricity, charging by friction/contact/induction,
     conductor, insulator, uniform/non-uniform charge distribution, earthing and electrical discharge)

2.   Describe the behaviour of like and unlike charges.
3.   Name and give symbols for the following: DC power supply, cell, battery, switch, lamp,
     resistor, variable resistor, wires joined, wires crossing, ammeter, voltmeter & fuse
4.   State the symbol and metric unit for: charge, current, voltage, resistance & power
5.   Define the following terms and phrases: Ohm’s law, DC electricity, series, parallel, current
     rules and voltage rules.
6.   Describe the differences and similarities in the way ammeters and voltmeters are used.
7.   Draw and interpret DC circuit diagrams
8.   Solve problems using V = IR, P = VI, P = E and Rtotal = R1 + R2
                                              t
9.   Describe the magnetic field patterns around permanent magnets, the earth, currents and
     coils.
10. State the symbol and unit for magnetic field.
11. Use the right hand grip rule to determine relative field (B) and current (I) directions.
12. Describe how the magnetic field due to a current in a straight wire varies with the size of
    current and the distance from the wire.
13. Solve problems using B = µ0I

                                        2 πd
Thursday, 16 September 2010
Thursday, 16 September 2010
LANGUAGE

Thursday, 16 September 2010
THE LANGUAGE OF ELECTRICITY

     Term         Definition                                                             Word list
Charge            an electrical quantity based on an excess or deficiency of electrons
static
                  a form of electricity where charge does not flow continuously
electricity




Thursday, 16 September 2010
NOTES
Thursday, 16 September 2010
ELECTRO
    STATICS
Thursday, 16 September 2010
CHARGING OBJECTS


Based on atomic structure
                                                            Electron (-ve charge)


                                                               Neutron

                                                               Proton (+ve charge)



The process                                                Empty space

1. Charge transfer - When two objects are in contact with each other, one object can
   transfer electrons to the other object. Protons are not transferred because they are
   “locked” into the nucleus.

2. Charge imbalance - When the two objects are moved away from each other the
   process of charge transfer is unable to be reversed.

   •   Positively charged objects have had electrons removed
   •   Negatively charged objects have gained electrons

     Oppositely charged objects attract each other. Those with like charges repel.
Thursday, 16 September 2010
CHARGE INTERACTION



 Oppositely charged objects                  Objects with the same
 attract each other                          charge repel each other




            +                 -         +      +                 -     -




            +                 -         +      +                 -     -




        Demo: The Van der Graaf Generator


Thursday, 16 September 2010
EXAMPLES


             Read p52 and 53 (Y10 Pathfinder) and then offer some examples to the class
             discussion:




                                       Static electricity
                                       around us




        The History of Electricity Generation
Thursday, 16 September 2010
LIGHTNING   Warm air currents ascend. Ice
                                          crystals descend removing electrons
                                          from cloud particles in this zone.




                                          A zone of positively charged cloud
                                          particles results




                                          At ground level the air becomes
                                          ionized (by losing electrons) and
                                          these positively charged particles
                                          are attracted to the negatively
                                          charged base of the cloud to give
                                          rise to a lightning bolt (an upstrike)
Thursday, 16 September 2010
CLOUD TO GROUND




Thursday, 16 September 2010
CLOUD TO CLOUD




Thursday, 16 September 2010
BLUE JETS AND SPRITES




Thursday, 16 September 2010
CHARGING OBJECTS

Methods of charging
Induction - the object being charged is not in contact with the object doing the
charging (usually a rod or a ruler). It involves charge transfer to or from the earth to
generate the charge imbalance in the object being charged. A charge imbalance is a
non-uniform charge distribution
Eg.
                     --        ++++
                              ----
                                               The problem with moisture in the air:
                                               Moisture prevents objects from holding a
                              +   +            charge because it transfers charge to or
                              +    +           from the object resulting in a neutral
           This symbol                         object.
           represents
           a
           connection
           to the earth




Contact - the object being charged is contacted by the other object and charge is
transferred directly from one object to another.

Friction - the object is rubbed by a material that has a greater or lesser affinity for
electrons and a transfer takes place. It is more the contact than the friction that is
necessary for the charging to take place.
Thursday, 16 September 2010
The importance of the material

Conductors - are materials that allow charges to flow through them. They do not
hold a static charge because any charge imbalance is easily conducted away.

Insulators - are materials that doe not allow charges to flow through them. They will
hold a static charge because the charge imbalance is not easily conducted away.

Example -




                 ESA: Ex 15A Q.1 ESA: Ex 15B Q.1, 2 & 3
Thursday, 16 September 2010
CURRENT
                 VOLTAGE
Thursday, 16 September 2010
IN
            TR
               O              DU
                                   CT
                                     IO
                                        N
Thursday, 16 September 2010
WHAT IS ELECTRICITY?




Thursday, 16 September 2010
THE ELECTRICAL CIRCUIT -
                              introducing the idea of the
                              electron pump




Thursday, 16 September 2010
1. What is an electric current?

                              2.   What are the two requirements necessary for an electric
                                   current to exist?



                                                    Power Supply


                                                   +              -




                              A conducting path
Thursday, 16 September 2010
THE GRAVITY MODEL
                  http://regentsprep.org/Regents/physics/phys03/bsimplcir/default.htm




                       A




                                                                         B




                               1.Which part of the model represents the power supply?

                              2. Which part of the model represents the component?

                              3.   What type of current is being modelled?
Thursday, 16 September 2010
THE WATER MODEL




                               1.Which part of the model represents the power supply?

                              2. Which part of the model represents the conducting path?

                              3. Which part of the model represents charge?
Thursday, 16 September 2010
THE BIKE MODEL


                                                     C

                                                                                A

                                  B




                               1.Which part of the model represents the power supply?

                              2. Which part of the model represents the conducting path?

                              3. Which part of the model represents charge?
Thursday, 16 September 2010
THE BIKE MODEL

                                                 one link




                                  THINK OF A LINK AS REPRESENTING A COULOMB OF
                                  CHARGE

                              1. In terms of this model, what do you think is meant by the
                                 term “current” ??

Thursday, 16 September 2010
ELECTRIC CIRCUITS
 Requirements:                                                    Power Supply
 a power supply
 conducting path around which charge
 (electrons or ions) can flow.
                                                         +                          -
 components (and sometimes meters)




                                A component



  Current                                                       A conducting path
  is a flow of electrons through a circuit
  Two types:
  AC - Alternating current (electrons vibrate back and forth in wires)
  DC - Direct current (electrons flow in wires in one direction only)

  Conventional current - the direction in which positive charges would flow in wires
  if they could.
  Conventional current is from positive to negative in a circuit (see diagram above)
       http://regentsprep.org/Regents/
       physics/phys03/bsimplcir/default.htm
Thursday, 16 September 2010
ELECTRIC CURRENT


Current -         is the rate of flow of electrical charge
        -         it is the number of coulombs of electrical charge that passes a point in
                  one second. A coulomb is 6.25 x 1018 charges
            -      I = electric current (measured in amps, A) by an ammeter:

                                                               Red       V       Black
 Connecting an ammeter                                               +       -

                                                                                         I
                                                     I
                                                                A
                                                         Red        Black

For charge to flow around an electrical circuit there is a need for a voltage source and
a conducting path that is continuous and connects the positive to the negative
terminal of the power supply.                           - +


 Example
 charge flows through the
 circuit as indicated by the
 arrows

Thursday, 16 September 2010
VOLTAGE

     Voltage
•    Voltage (V) is a measure of the energy lost or gained between two points in a
     circuit.
•    It is measured in the units volts , (V)

                              where   V   = potential difference or voltage (Volts, V)
      V = ∆Ep
           q                          ∆Ep = change in potential energy that a charge
                                            experiences when it moves from one side to the
                                            other side of a component (Joule, J)
                                      q   = the unit of charge (Coulomb, C)


    Unit of Voltage:           Joule per Coulomb or Volt
                               (JC-1)            or (V)
    Example
                                                                        V
    Consider the voltage across a lamp:                                            -
                                                              +

                                                               A                  B
                                                                        1A

    If V = 6V then a coulomb of charge has 6J more electrical potential energy at
    point A than it does at point B
Thursday, 16 September 2010
Notes                             CIRCUIT SYMBOLS

demo of circuit components ->

     +        -               V

         A                    •




    Two wires joined                 Two wires crossing

             Cell                          Lamp

  Battery (two cells in
                                           Switch
        series)
     Battery (several
                                           Diode
          cells)

         Voltmeter                       Ammeter

         Resistor                      Power supply

                                      variable resistor
             fuse
                                         (rheostat)
Thursday, 16 September 2010
RE
                                SI
                              &    ST
                                OH A N
                              LA M’ CE
                                 W S

Thursday, 16 September 2010
IN
            TR
               O              DU
                                   CT
                                     IO
                                        N
Thursday, 16 September 2010
RESISTANCE & ELECTROCUTION - 1




Thursday, 16 September 2010
RESISTANCE & ELECTROCUTION - 2




Thursday, 16 September 2010
FACTORS AFFECTING RESISTANCE




Thursday, 16 September 2010
FACTORS THAT AFFECT RESISTANCE




     Also, some materials conduct electricity better than others Eg. Copper is better than iron
Thursday, 16 September 2010
CONDUCTORS & INSULATORS

        In a conductor, electrons                  In an insulator,
        are free to flow                           electrons are fixed




                                                        _______________


  Label the materials that the                          _______________
  arrows are pointing to
Thursday, 16 September 2010
THE VOLTAGE-CURRENT RATIO

 1. Consider a lamp in an electrical circuit:
                                                                 12V




                                                                         2A


12V represents the energy difference across the lamp. This drives electrons
through the lamp at the rate (or “speed”) of 2A. The voltage:current ratio is
_____

 2. Consider a different lamp in an electrical circuit:
                                                                 12V




                                                                         1A


This lamp has higher resistance because 12V across this lamp can only drive
electrons through the lamp at a rate of 1A. The voltage:current ratio is _____


       This example shows that the greater the voltage:current ratio then the greater the
       resistance is. Resistance is the voltage:current ratio

Thursday, 16 September 2010
RESISTANCE
Definitions
1. Resistance, R is a measure of the “electrical friction” in a conductor. (the
   opposition to the flow of current)
2. It is the ratio of the voltage across a conductor to the current through it.

 Resistance = Voltage
             Current                              R=V     Unit of resistance
                                                    I     is the ohm, Ω
                                                                                   V

                                                                               I       R
                                       Resistance is given by the slope or
                                      gradient of a voltage - current graph
Example
In an experiment, the voltage across a lamp is measured and recorded as the current
is increased 1 A at a time. Calculate the resistance of the lamp.
V (V)
     24
     20
     16
     12
     8
     4

          0   1   2   3   4   5   6
                                       I (A)
Thursday, 16 September 2010
WHATS HAPPENING TO THE RESISTANCE AS THE CURRENT INCREASES?


               24                                         A conductor that retains a constant
1    V (V)     20                                         temperature as the current is increased:
               16
               12
               8
               4

                    0    1   2   3   4   5   6   I (A)

                                                          A conductor that is allowed to heat
                24
2     V (V)                                               up as the current is increased
                20
                16
                12
                8
                4
                                                  I (A)
                0    1   2   3   4   5   6


                                                          A conductor that is cooled progressively
3    V (V)    24
              20                                          as the current is increased
              16
              12
              8
              4
                                                 I (A)
                0    1   2   3   4   5   6
Thursday, 16 September 2010
MODELLING TEMPERATURE
                     INCREASE IN A WIRE




                                     SHAKING




Thursday, 16 September 2010
Thursday, 16 September 2010
LIMITATIONS OF OHM’S LAW
         24
V (V)    20
                                              When a temperature of a lamp increases its
         16                                   resistance increases
         12
         8
         4
                                      I (A)
         0    1   2   3   4   5   6




For most conductors, as the temperature increases the increased vibration of particles
impedes the flow of electrons. Resistance in the conductor will therefore increase. The
graph slopes upwards.




V (V)   24
                                              The resistance of a thermistor decreases as its
        20
        16
                                              temperature decreases
        12
        8
        4
                                      I (A)
          0   1   2   3   4   5   6



Thursday, 16 September 2010
BASIC RESISTANCE PROBLEMS


1. What is the resistance of a bulb it a 240 V supply causes a current of 2 A to flow
   through it?


2. What current flows through a heating element of 40Ω resistance when the element
   is plugged into a 240 V supply?


3. If a current of 3 A is flowing in a resistor across which there is a voltage of 6 V,
   what is the resistance?


4. What current must be flowing through a lamp of 0.5Ω resistance if there is a voltage
   of 6V across it?


5. A current of 2 A flows through a 6Ω resistor. What is the voltage across it?



6. What voltage is needed it a current of 5A is to flow through a resistance of 3Ω?


Thursday, 16 September 2010
RESISTANCE CALCULATIONS
Resistors which are connected end to end are in series with one
another
                               R1             R2


 The total resistance of the series combination, Rs is the sum of the
 resistances R1 and R2.

 For two or more resistors in series:        Rs = R1 + R2 + ...........


Resistors which are connected side by side are in parallel with each other.
                                        R1


                                        R2



The total resistance of the parallel combination, Rp is less than any individual
resistor in the combination.

For two or more resistors in parallel           1    1    1 + ....
 the total resistance,Rp is given by:           RP = R1 + R2
Thursday, 16 September 2010
Thursday, 16 September 2010
SERIES &
              PARALLEL
Thursday, 16 September 2010
CIRCUITS: diagrams & assembly

Draw the following circuit diagrams in the spaces
provided AND when you have finished, assemble them:


  1.

               +   -




  2.
                   +   -




  3.
                              A
                                          V

               +   -




                                       Voltmeters are connected _________ components,
                                       ammeters are connected _____ a circuit
Thursday, 16 September 2010
CHARACTERISTICS OF SERIES & PARALLEL CIRCUITS


 Series                                        Parallel



                                                    +   -
                    +       -




                                                        +    -
                +       -




            components connected                     each component has its own
   1._                                           1._ connection with the power
            one other the other.
                                                     supply
   2._      Single pathway                       2._      more than one pathway


   3._        No junctions                       3._      One or more junctions

Thursday, 16 September 2010
http://phet.colorado.edu/simulations/   CIRCUIT CONSTRUCTION
         sims.php?
         sim=Circuit_Construction_Kit_DC_Only



1. Enter the URL (above) into the address bar of your internet browser.
2. Use the simulation tools to construct each of the following 3 circuits (ensure that you use
   identical lamps and an the same power supply for each circuit).
3. Record the current in each circuit and explain your observation.
4. Repeat this exercise for the second set of 3 circuits.

 1                                           2                          3
             +    -                                 +    -                      +       -
                              A                               A                                 A




                                                                            3
                                                                                    +       -
                                             2
                                                                                                    A
     1                                               +   -

                 +    -                                       A

                                  A



Thursday, 16 September 2010
DRAW THE CIRCUITS AND SET THEM UP




Thursday, 16 September 2010
CIRCUIT
                      RULES
Thursday, 16 September 2010
VOLTAGE & CURRENT IN SERIES CIRCUITS




                                           +        -


                                               VT
                          A1                                            A3

                              I1                                       I3

                                          I2
                                                A2


                                   V1                        V2



          Current in series is constant                 I1   =    I2        =   I3

          Voltage in series is shared                   VT   =    V1        +    V2

  Note
  Voltage is shared in proportion to the size of the resistance
Thursday, 16 September 2010
PARALLEL CIRCUITS


                              +        -
                                                       Current in parallel is shared
          IT                      VT              IT
                                       R1
                                                       IT   =     I1    +       I2
            I1                                         in other words “charge splits
                                                       up as it enters a junction in
                                                       a circuit”
                                  V1
                                       R2
            I2                                         Voltage in parallel is constant


                                  V2                   VT     =    V1       =    V2
 Note
 Current is shared in an inverse proportion to the size of the resistance.

 For example:
 If       R1 = 5 and R2 = 10
 and      IT = 3
                                            “Double the resistance then halve the current”
 then     I1 = 2 and I2 = 1
Thursday, 16 September 2010
SIMPLE CIRCUIT CALCULATIONS
Example 1

                                     +    8V   -
                                                          A3 = ________

                  3A A1                             V1    V1 = ________
                               2A
                               A2                   R1    V2 = ________

                               A3                   R2

Rules used                      V2
____________________________________________________________________
____________________________________________________________________
Example 2
                                 +   8V   -
                                                     3V
                V1                             V2         V1 = ________


                                               R1
 Rule used ___________________________________________________________
Thursday, 16 September 2010
Example 3

                                   +   8V   -                  A4               A3 = ________
                                                     3V
       4A A1                                    V1                  V3          A4 = ________
                              3A
                              A2                R1                              V2 = ________

                                                                                V3 = ________
                              A3                R2
                                                                    Rules used
                                                V2                  ______________________
                                                                    ______________________
                                                                    ______________________
Example 4                                                           ______________________
                                                                    ______________________
                                   +   8V   -             A4
                                                                                A1 = ________
              A1
                              3A                                                A4 = ________
                              A2
                                                                    Rule used
                                                                    ____________________
                              4A
                                                                    ____________________
                              A3                                    ____________________
Thursday, 16 September 2010
ADVANCED CIRCUIT CALCULATIONS
Examples

                                          + 9V -
  1

                              A1            V1                A3

                                   5Ω               10Ω
                                             A2


                                    V2               V3
For the circuit represented by the circuit diagram above, what is the reading on:
(a) V1



(b) A2



(c) V2



(d) V3


Thursday, 16 September 2010
2                                      + 15V -

                                         V1

                                                        5Ω       A3
                              V2              A1


                                                   V3
                              R                         10Ω
                                              A2


For the circuit represented by the circuit diagram above, what is the reading on:
(a) V3 if V2 = 10 V


(b) A1


(c) A2


(d) A3


(e) What is the value of resistor R?


Thursday, 16 September 2010
3                                       + 12V -

                                           V1

                               1A                    2Ω     4.8Ω        V3
                                      A1


                                                V2
                                                     3Ω
                                      A2


For the circuit represented by the circuit diagram above, what is the reading on:

(a) V1


(b) V2


(c) V3


(d) A2




Thursday, 16 September 2010
RESISTORS IN SERIES


                                          +     -


             R1

                                                                     RT =     R1 +     R2

                                               R2
 Examples

  1                                                      2

                                                                 25 Ω      30 Ω      50 Ω
      100 Ω       100 Ω       100 Ω
  •                                   •

  Total resistance =                                         Total resistance =


 As we add resistors in series the resistance increases and therefore the current
 drawn decreases
 As we add resistors in parallel the resistance decreases and therefore the current
 drawn increases
Thursday, 16 September 2010
OT
            HE
                              R
                                  ST
                                    UF
                                         F

Thursday, 16 September 2010
ESA: 13B Q.5 to 8
Thursday, 16 September 2010
ESA: 13B Q.5 to 8

Thursday, 16 September 2010
Thursday, 16 September 2010
INTRODUCING “EMF” & “ELECTRICAL POTENTIAL




Thursday, 16 September 2010
METERS

Thursday, 16 September 2010
+ 9V -
                                       One of these meters has
                       IT              a very high resistance
                                       The other meter has a
        A                              low resistance.

                                       Which is which?




                                 V           Explain your answer




Thursday, 16 September 2010
METERS


        Ammeter
                                                        + 9V -
    1. connected in series with                    IT
       other components
                                      A
    2. has low resistance so
       that it doesn’t slow the
       current that it is supposed
       to be measuring



        Voltmeter

    1. connected in parallel with other                    V
       components

    2. has high resistance so that it
       doesn’t allow much current to flow
       through it. This would reduce the
       current and voltage through the
       component. It is supposed to be
       measuring the voltage

Thursday, 16 September 2010
POWER
                          &
                        ENERGY
Thursday, 16 September 2010
POWER

•    Power is the rate at which electrical energy is transferred into other forms of
     energy.
•    It is the amount of work done per second



                              E       E = the amount of energy converted or work done (J)
     P = E
         t             P          t   t = the time taken (s)




•    It can be shown that the electrical power supplied to a device is given by:



                              P       P = power (watts, W) (1W = 1 Js-1)

     P = VI            V          I   V = Voltage (volts, V)
                                      I = Current (amps, A)
     P = Power (Watts, W)

Thursday, 16 September 2010
POWER & ENERGY

 Total energy used by a component/appliance
 can be calculated from the equation:
                                                   E = P.t
   When the power value of the component/appliance is known and this value does not
   change over time.

If power changes over time then this change can be graphed.

P (W)

     14                                            E = Area under the graph
     12

     10

      8
                                                     E = 0.5 (9 + 13) = 4.4 J
      6                                                         10

      4

      2


        0        2       4    6   8   10   t (s)
Thursday, 16 September 2010
TOTAL POWER USAGE in a parallel circuit

Example
The power usage of the 4 lamps in parallel shown in the circuit below can be
calculated in two ways:
(i) Use the total voltage (supply voltage) and the total current (current drawn from
     the supply) to calculate power.
(ii) Add the power usage of each of the components in parallel.
                                              (i)   lamps 1 & 2:    I = P
         12 V                                                           V
                                                                      = 6/12
                                                                      = 0.5 A
                 12 V
   P1            6W                                 Lamps 3 & 4:     I = P
                                                                         V
                 12 V                                                  = 12/12
   P2            6W
                                                                       =1A

                 12 V         IT =     I1 +   I2 +    I3 +   I4 =   0.5 + 0.5    + 1 + 1 = 3A
   P3            12 W         P = VTIT = 12 x 3 = 36 A

                 12 V
   P4            12 W           (ii)   PT =    P1 + P2 + P3 +         P4
                                          =    12 + 12 + 6 + 6
                                          =     36 W
Thursday, 16 September 2010
LAMP BRIGHTNESS IN CIRCUITS


      Three main points
(i) The brightness of a lamp depends on its power output since for a lamp, power is
    the rate at which electrical energy is converted into light (and heat)
(ii) In a circuit which has values of voltage and current, it is both the voltage and
     current that determine brightness.
(iii) The lamp’s resistance will determine that voltage:current ratio that it possesses


      Example:
      The series circuit (below), shows 2 identical lamps. A third identical lamp is
      added to the circuit. Explain how the brightness of the lamps in the circuit
      changes

                      12 V

                    +         -




Thursday, 16 September 2010
EXERCISES

Thursday, 16 September 2010
POWERING THROUGH THE QUESTIONS



                               TV      Stereo    Jug     Heater   Stove    torch    downlight



   Voltage (V)                 240               240      240                6



   Current (A)                 0.3     0.02                         8       0.05



Resistance (Ω)                          250                                           450



    Power (W)                                   1000     1200     1800      0.3       140


  Running time
                              20 min                              20 min   10 min     3h
      (s)


    Energy (J)                         1000     125000   300000

Thursday, 16 September 2010
“PARALLEL WITHIN SERIES”
                                                0.5 A
                                                                +   9V   -
  A 9 V battery is connected in the
  circuit shown.                         10Ω
  A current of 0.5 A is found to                        0.1 A
  pass through the 10Ω resistor.                                    40Ω



                                                                     X

(a) Calculate the voltage across the 10Ω resistor.


(b) Show that the voltage across the parallel combination of resistors is 4.0 V.


(c) If 0.1 A passes through the 40Ω resistor, determine the current through resistor X.


(d) Show that the resistance of resistor X is 10Ω.


(e) Determine the heat energy generated per second in the whole circuit.


Thursday, 16 September 2010
PARALLEL CIRCUIT IN ACTION

A car has two tail lights and two brake lights connected as shown in the diagram:




(a) Calculate the resistance of:
    (i) a tail light
    (ii) a brake light


(b) Calculate the current supplied by the battery when both S1 and S2 are closed.


(c) When the driver takes her foot off the brake S2 is opened state what
    happens to the size of the current from the battery and give a reason
    for your answer.

Thursday, 16 September 2010
Y11 Sci - W & W




Thursday, 16 September 2010
Y11 Sci - W & W




Thursday, 16 September 2010
answers                       “PARALLEL WITHIN SERIES”
(a) 5V
(b) V in series is shared. The combination of the 40Ω resistor and X are in series
     with the 10Ω. Therefore V of the combination is 9 - 5 = 4
(c) Current through X = 0.5 - 0.1 = 0.4A because current in parallel is shared. The
    total current flowing from the power supply is shared out between the 40Ω
     resistor and X.
(d) I through X = 0.4A and V across X = 4V (since voltage in parallel is constant).
    R = V/I = 4/0.4 = 10Ω
(e) “Heat energy per second” is the definition of power. For the whole
     circuit, I = 0.5A and V = 9V. P = VI = 9 x 0.5 = 4.5W


                              PARALLEL CIRCUIT IN ACTION

(a) The current through a tail light needs to be calculated first:
    P = VI => I = P/V = 6/12 = 0.5A For a tail light, R = V/I = 12/0.5 = 24 Ω
    For a brake light, P = VI => I = P/V = 12/12 = 1A R = V/I = 12/1 = 12 Ω

(b) I total = 2 x 0.5 + 2 x 1 = 3 A

(c) Less current flows through the battery because there is now more resistance in
    the circuit because of the reduction in the number of pathways available for
    charge to flow.
Thursday, 16 September 2010
MAGNETIC
          FIELDS
Thursday, 16 September 2010
THE MAGNETIC FIELD AROUND A BAR MAGNET AND
                             THE EARTH’S MAGNETIC FIELD




Thursday, 16 September 2010
---> Demo c bar magnet & major magnet
                                      WHAT IS MAGNETISM?

• Magnetism is caused by moving electrons. (The smallest magnetic field is
  produced by the motion of 1 electron)

• When electrons move in a common direction, a magnetic field is produced
  (sometimes called a magnetic force field)

• A force will be exerted on an iron object placed in a magnetic field.

• A magnetic field is a region in space where a magnetic force can be detected.

    The magnetic field around a bar magnet



                                                                      Charm compass
                                              S


        Magnetic field lines                                         The compass needle is
                                                                     itself a tiny magnet (the
                                              N                      North pole of this magnet
                                                                     points towards the South
                                                                     end of the magnet)



                               Strong magnetic field (high density of lines)
Thursday, 16 September 2010
THE EARTH’S MAGNETIC FIELD


                                           θ (angle of declination) = 11o
                              Geographic
                              North              Magnetic
                                                 South


                                                                   compass
                                             S




                                             N




                                                    Earth’s axis


• θ changes with time

• Angle of Dip - is the angle that the field lines make with the ground. At the
  equator, the angle of dip is zero. Near the poles the angle of dip is close to 90
  degrees.
Thursday, 16 September 2010
THE EARTH’S MAGNETIC FIELD IS ESSENTIAL FOR
                                  LIFE ON THE PLANET.



Home to millions of species including humans, Earth is currently the only place in the
universe where life is known to exist. The planet formed 4.54 billion years ago, and life
appeared on its surface within a billion years. Since then, Earth's biosphere has
significantly altered the atmosphere and other abiotic conditions on the planet,
enabling the proliferation of aerobic organisms as well as the formation of the ozone
layer which, together with Earth's magnetic field, blocks harmful solar
radiation, permitting life on land.



 The physical properties of the Earth, as
 well as its geological history and orbit,
 have allowed life to persist during this
 period. The planet is expected to continue
 supporting life for at least another 500
 million years.



Thursday, 16 September 2010
MAGNETIC
         DOMAINS
Thursday, 16 September 2010
MAGNETIC MAGIC -->
                              MAGNETIC DOMAINS




Thursday, 16 September 2010
MAGNETIC THEORY

  Ferromagnetic materials (Iron, Cobalt and Nickel) can be permanently magnetised.

Electrons spinning in atoms have magnetic fields around them. They set up tiny North
and South poles. Such an arrangement for an electron is called a dipole moment.
[Illustrate a mag. dipole and mention Exchange Coupling]




                                                                       N
                              N

                                  e
                              S                                        S




                                                             For most elements:
                                                             magnetic fields cancel.

Iron, Cobalt and Nickel:
Electron structure is such that there is a resultant magnetic field produced by each
atom. These atoms are sometimes called atomic magnets.)
Thursday, 16 September 2010
DOMAINS

Regions in a metal where the orientation of the magnetic dipoles is the same are
called domains.

                                                                A domain
Unmagnetised Iron                                               Here, a large number
                                                                of iron atoms
=> Domains are                                                  (magnetic dipoles)
scrambled                                                       are aligned.




Partially
magnetised

                              S                                                    N
Fully magnetised

=> the orientation of
the domains is the            S                                                    N
same
Thursday, 16 September 2010
BREAKING A MAGNET




Thursday, 16 September 2010
MAGNETISING AND DEMAGNETISING         [Solenoid Demo]




 “Lining up” the domains - Magnetising
 • Stroke the object end to end with a permanent magnet , in the same
   direction, using the same pole of the magnet.

 • Hold the object inside an D.C or A.C solenoid (Domains line up in the
   direction of the magnetic field)


 “Scrambling” the domains - Demagnetising
 Heat or hammer the magnet (This disturbs the alignment of the domains)
 [CAN ALSO BE DEMONSTRATED WITH THE SOLENOID]



“Domains are induced into alignment”

- Picking up iron objects




Thursday, 16 September 2010
EXERCISES



Thursday, 16 September 2010
Thursday, 16 September 2010
Thursday, 16 September 2010
Thursday, 16 September 2010
WIRES

Thursday, 16 September 2010
WIRES

A circular magnetic field is formed around a straight current - carrying conductor:

   3D View
                 I                 View from above

                                                         The direction of the magnetic
                                                         field lines is given by the
                                                         Right-hand Thumb Rule



                                          •




    ( “•” represents current directed out of the page)


     The right hand thumb rule:
     Thumb = direction of the electric current
     Curled fingers = direction of the circular magnetic field

Thursday, 16 September 2010
“View” from above”

                              I



                                           •

           Magnetic field
           lines




Thursday, 16 September 2010
B = Magnetic field strength (in Tesla,T)
                                   I   = Electric current in the wire (in Amps,A)
                B = µ0I
                   2 d π           µo= the permittivity of free space (the ability of a
                                        material to support a magnetic field (TmA-1)
                                   d   = Distance from the wire (in metres, m)




       Note

 1. Reversing the direction of the current reverses the
    direction of the magnetic field.
 2. Magnetic field strength (symbol, B) is measured in
    NA-1m-1 or Tesla,T.

 3. As the current in the wire, I increases the strength of the magnetic field
    increases
    BαI      i.e. B is proportional to I
 4. As the distance,d from the wire increases the strength of the magnetic field
    decreases.
      B α 1/d i.e.         B is inversely proportional to d


Thursday, 16 September 2010
Example
A special meter able to measure the magnetic field strength at any given point in the
vicinity of a wire is shown below (taking a reading). It measures the magnetic field
strength as 8 x 10-4 T at a distance of 0.01m from the centre of the wire. The current
through the wire is 5 A.
Calculate the value of the constant µo.




Exercises

               B                I                 d                   µo

        5 x 10-5 T             2A              20 mm             3.14 x 10-6

        6 x 10-5 T             3A              0.159 m         2 x 10-5 TmA-1

       7.2 x 10-5 T           3.11 A           2.2 cm          3.2 x 10-6 TmA-1

       1.05 x 10-3             3A              20 mm          4.4 x 10-5 TmA-1
Thursday, 16 September 2010
CURRENT CARRYING CONDUCTOR AND
                              MAGNETIC FIELD -----> COIL




Thursday, 16 September 2010
COILS

Thursday, 16 September 2010
THE SOLENOID


The magnetic field of a solenoid is
similar in shape to that of a bar
magnet:
                                                                 Draw the field lines
If the current is known, the poles of the solenoid can be determined using the right
hand thumb rule applied earlier to the straight wire:


Complete this:




Field lines are parallel in the core of the solenoid which --> the magnetic field in the
core is uniform.

The density of magnetic field lines is greatest in the core --> the magnetic field
strength is greatest in the core.
Thursday, 16 September 2010
STRENGTH RULZ


        Factors affecting the strength of the magnetic field:
  1. Increasing the current increases the magnetic field strength.

  2. Increasing the number of turns of wire per given length of the
     electromagnet increases the magnetic field strength



         Predicting North and South poles:



                              Thumb points to North
                              pole of the solenoid
                              from inside the coil


                              Curled fingers indicate
                              the direction of the
                              current




Thursday, 16 September 2010
ELECTROMAGNETS


   A solenoid which contains an iron core is called an electromagnet.

   Adding an iron core increases the strength of the magnetic field because
   the iron core itself becomes magnetised and adds to the magnetic field of
   the solenoid.




   Uses of electromagnets
1. Electromagnets in relays are able to open and close electrical circuits (eg. starter
   motor circuit in a car).
2. Used in scrap yards to lift car bodies.

3. Create the ringing sound in electric bells.

4. Electromagnets in the recording heads of tape recorders are used to magnetise
   the audio tape during recording.
Thursday, 16 September 2010
THE COIL GUN
Induced magnetism
An unmagnetised object will have have its
domains aligned and therefore develop a north
and south pole. The object can be picked up
by the magnet because opposite poles attract.




   Cross-section of coil


           Attraction to
                                    x    x    x       x   x    x    x       x
           North of coil
                                              Attraction to South of coil
    N                         S         N


                                    -    -    -       -   -    -     -      -

                                  North end of coil                      South end


The dipoles in the object change along the rod as the rod is drawn into the coil and it
is this dipole change which pulls the rod into the coil
Thursday, 16 September 2010
ELECTROMAGNETS IN RELAYS




Thursday, 16 September 2010
Thursday, 16 September 2010
Thursday, 16 September 2010
PRACTICAL

Thursday, 16 September 2010
STATIC

Thursday, 16 September 2010
PLAYING AROUND WITH STATIC ELECTRICITY




1                                            plastic rod (charged by rubbing with a cloth)

                                                             small pieces
                                                             of torn paper


Observation:

Explanation:



2                                   Balloon rubbed against hair
                                    Removed from head and then brought back to hair


                              Observation:



                              Explanation:



Thursday, 16 September 2010
3
                                 Balloon rubbed against jersey
                                 Release


                       Observation:



                       Explanation:




                              cotton
                                       (a) Each balloon charged separately by rubbing against
 4
                                           the sleeve of a jersey



                                       (b) Holding the balloons by the cotton, release them,
                                           allowing them to come close to each other.

                              Observation:



                              Explanation:
Thursday, 16 September 2010
5


   (a) Straw, charged at both
                                                           (b) Straw, also charged using a
       ends (using a woollen
                                                               woollen cloth held horizontally
       cloth)
                                                               and brought close

   (c) Repeat (b) using a silk cloth.


        Observation:

        Explanation:




                                    Charged plastic rod is held near a thin stream of water


    6                         Observation:

                              Explanation:



      http://phet.colorado.edu/new/simulations/sims.php?
      sim=Balloons_and_Static_Electricity
Thursday, 16 September 2010
Equipment
                CHARGING OBJECTS                                                                              dry cloth/jersey
                                                                                   Cap
                                                                                                              perspex rod
                                                                                   Insulating material
                                                                                                              ebonite rod
                                                                                                              electroscope
                                                                                   Body of electroscope
                                                                                   Leaf


                                                                                   Base


Aim
to charge an electroscope by both induction and by contact and to draw charge distribution
diagrams
Method
1. Follow the instructions below
2. Write observations as you perform each step
3. Complete the diagrams only after recording the observations (you may need some help with
   these)
Part 1 - Charging by induction

1. Charge the rod by rubbing it with a dry cloth/jersey and hold the rod
   near the cap of the electroscope                                                                   ++++
                                                                                                     ----
    Observation:


                                                                                                         +   +
                                                                                                         +    +

    If the rod was positively charged the charge distribution diagram would look like this:
Thursday, 16 September 2010
Complete the diagram to show how charges would distribute on the electroscope should the rod
 be negatively charged.



                                          ----




2. With the rod in this position, earth the cap with your finger.

   Observation:                                                                     ++++
                                                                                   ----



                                                                                   +   +
                                                                                   +    +
                                                                    This symbol
   Complete the diagram to show how charge moves                    represents
                                                                    a
   when the cap of the electroscope is earthed                      connection
                                                                    to the earth
Thursday, 16 September 2010
Draw the charge distribution diagram (by adding to             ++++
the existing diagram on the right) showing the                ----
situation once this charge movement has finished.

                                                              +   +
                                                              +    +




3. Unearth the cap of the electroscope without removing the
   charged rod

    Observation:




Draw the resultant charge distribution and the new
position of the leaf on the diagram (right).


4. Remove the charged rod

    Observation:




Finally, complete the diagram (right).
Thursday, 16 September 2010
Part 2 - Charging by contact

Method
1. Follow the instructions below
2. Write observations as you perform each step
3. Complete the diagrams only after recording the observations (you may need some help with
   these)

 1. A positively charged rod is held near the cap of the electroscope.       ++++




 2. The rod makes contact with the cap.




 3. The rod is removed.




Thursday, 16 September 2010
Lab 12                               ALL CHARGED UP                                   Equipment
                                                                                                   dry cloth/jersey
                                                               Cap                                 perspex rod
                                                               Insulating material                 ebonite rod
                                                                                                   electroscope
                                                               Body of electroscope
                                                               Leaf


                                                               Base

Aim
to charge an electroscope by both induction and by contact and to draw charge distribution
diagrams
Method
1. Follow the instructions below
2. Write observations as you perform each step
3. Complete the diagrams only after recording the observations (you may need some help with
   these)
Part 1 - Charging by induction

1. Charge the rod by rubbing it with a dry cloth/jersey and hold the rod
   near the cap of the electroscope                                                            ++++
                                                                                              ----
    Observation:

    The leaf of the electroscope springs up.
                                                                                              +   +
                                                                                              +    +

    If the rod was positively charged the charge distribution diagram would look like this:
Thursday, 16 September 2010
Complete the diagram to show how charges would distribute on the electroscope should the rod
 be negatively charged.


 Electrons at the cap are
 repelled by the negatively               ----
                                         ++++
 charged rod.


                                          - -
                                          - -
                                                               Electrons at the cap are held in
                                                               position by the positively
                                                               charged rod. The earth supplies
                                                               electrons to the positively
                                                               charged leaf and lower stem.

2. With the rod in this position, earth the cap with your finger.

   Observation:                                                              --     ++++
                                                                                   ----
    Leaf of the electroscope drops

                                                                                   +   +
                                                                                   +    +
                                                                    This symbol
   Complete the diagram to show how charge moves                    represents
                                                                    a
   when the cap of the electroscope is earthed                      connection
                                                                    to the earth
Thursday, 16 September 2010
Draw the charge distribution diagram (by adding to                     ++++
the existing diagram on the right) showing the                       - - - -
situation once this charge movement has finished.

                                                                           -
            The cap and leaf now have                                 +
                                                                      -    +-
                                                                      +      +
            no overall charge.                                        -
            Electrons on the cap are
            still held in position.


3. Unearth the cap of the electroscope without removing the             ++++
   charged rod                                                        - - - -

    Observation:
    Leaf of the electroscope remains in the “dropped”
    position. The charge distribution has not changed                    -
                                                                       + +
                                                                       - -
                                                                       +
                                                                       - +
Draw the resultant charge distribution and the new
position of the leaf on the diagram (right).
                              Negative charge redistributes itself
4. Remove the charged rod     around the metal parts of the
                              electroscope leaving the stem and           - -
    Observation:              leaf with an overall negative charge

    The leaf of the electroscope springs up.                           - -+
                                                                       +
                                                                       -  -
                                                                       + + -
                                                                       -
Finally, complete the diagram (right).
Thursday, 16 September 2010
Part 2 - Charging by contact

Method
1. Follow the instructions below
2. Write observations as you perform each step
3. Complete the diagrams only after recording the observations (you may need some help with
   these)

 1. A positively charged rod is held near the cap of the electroscope.           ++++
                                                                               - - - -
                              Charge separation occurs. Positive
                              repels positive at the stem/leaf
                                                                                 +   +
                                                                                 +    +


 2. The rod makes contact with the cap.                -


                                                                    Electrons migrate up
                                                           +   +    into the rod
                                                           +    +


 3. The rod is removed.          + + +


                                                 The electroscope is now left with
                                  +   +          an overall positive charge.
                                  +    +



Thursday, 16 September 2010
SPARKS




                                       12 Physics > resources > electricity > DC
                                       electricity > videos

Thursday, 16 September 2010
THE VAN DER GRAAF
                 Label the picture of the Van der Graaf (left) using the labels in
                 the box below

                          ______________
                                                     Lower roller
                          ______________
                                                     Belt - A piece of surgical tubing
                          ______________
                                                     Output terminal - an aluminium or steel sphere

                                                     Upper roller - A piece of nylon
                          ______________
                                                     Motor
                          ______________
                                                     Upper brush - A piece of fine metal wire

                          ______________             Lower Brush

                          ______________


•   When the generator is turned on, the electric motor begins turning the belt.
•   The belt is made of rubber and the lower roller is covered in silicon tape. Silicon has
    a greater affinity for electrons than rubber and so it captures electrons from the
    belt. The belt in turn must capture electrons from the dome, leaving the dome
    positively charged.



       Reference: http://science.howstuffworks.com/vdg3.htm
Thursday, 16 September 2010
THE VAN DER GRAAF - OBSERVATIONS & EXPLANATIONS

                              1. Small dome held close to generator dome
                                 Drawn observation      Explanation




                              2. Hair stands on end when contact is made with the generator
                                 dome

                                 Drawn observation      Explanation




  3. Aluminium foil plates flying of the top of the generator dome


        Drawn observation           Explanation




Thursday, 16 September 2010
DC

Thursday, 16 September 2010
CIRCUIT
                   RULES
Thursday, 16 September 2010
ADDING BULBS IN PARALLEL


1. Set up each of the following circuits, one after the other (making a mental note of
   the brightness of the lamps in the circuit.
2. For each circuit read the ammeter and record the current in the space provided.

  1                                2                            3
               8V                            8V                            8V
              + -                            + -                          + -

                              A                             A                            A




  Current = ______ A

                                       Current = ______ A

                                                                    Current = ______ A

 Observation

Explanation




Thursday, 16 September 2010
ADDING BULBS IN SERIES



1. Set up each of the following circuits, one after the other (making a mental note of
   the brightness of the lamps in the circuit.
2. For each circuit read the ammeter and record the current in the space provided.

 1                                2                            3

              +     -                       +   -                        +   -

                              A                            A                            A




  Current = ______ A                  Current = ______ A           Current = ______ A

Observation




Explanation




Thursday, 16 September 2010
CURRENT IN THE SERIES CIRCUIT IS CONSTANT


Aim
to look for a pattern in the current through bulbs and resistors in a series circuit.


1. Use ONE ammeter in the three different places shown in the circuit diagram.
2. Without changing the setting on the power pack or the variable resistor write the
   current readings in the spaces provided (below):



                    A1                +   8V   -
                                                                           A1 = ______ A
                                                            A3             A2 = ______ A
                                                                           A3 = ______ A
                              A2




        Equation

Thursday, 16 September 2010
CURRENT IN THE PARALLEL CIRCUIT IS SHARED

Aim
to look for a pattern in the current through bulbs and resistors in a parallel circuit.


1. Use ONE ammeter in the each of the four places shown in the circuit diagram.
2. Without changing the setting on the power pack record your results below:


                                           +   8V   -
                                                                           Results
                              A1                              A4           A1 = ____ A

                                                                           A2 = ____ A
                                      A2
                                                                           A3 = ____ A
                                                                           A4 = ____ A
                                      A3


Conclusion
Current in a parallel circuit is ____________ .


 Equation relating the currents

Thursday, 16 September 2010
VOLTAGE IN THE SERIES CIRCUIT IS SHARED


Aim
to look for a pattern in the voltages across bulbs and resistors in a series circuit.

  1. Set up the circuit (below)
  2. Use ONE voltmeter in the three different places shown in the circuit diagram.
  3. Without changing the setting on the power pack record your results below:


                                +   8V   -
                                                                 Results
                                    V1                           V1 (power supply)        = __ V

              V2                                V4     A         V2 (variable resistor)   = __ V

                                    V3                           V3 (bulb)                = __ V
                                                                 V3 (ammeter)             = __ V




 Conclusion
 The power supply voltage is _____________ between the components in the circuit



 Equation relating the voltages
Thursday, 16 September 2010
VOLTAGE IN THE PARALLEL CIRCUIT IS CONSTANT

Aim
to look for a pattern in the voltages across bulbs and resistors in a series circuit.

  1. Set up the circuit (below)
  2. Use ONE voltmeter in the three different places shown in the circuit diagram.
  3. Without changing the setting on the power pack record your results below:

                                     +   8V   -

                                         V1                                   Results
                                                                              V1 = ___ V
                                         V2
                                                                              V2 = ___ V
                                                                              V3 = ___ V




                                         V3

  Conclusion
  The voltage across components connected in parallel is __________

   Equation relating the voltages
Thursday, 16 September 2010
VOLTAGES AND CURRENTS IN SERIES AND PARALLEL


Aim
to investigate voltage and current in a series circuit that has a parallel portion in it.



     1. Set up the circuit (below)
     2. Use ONE voltmeter in the four different places shown in the circuit diagram
        and ONE ammeter in the four different places shown.
     3. Without changing the setting on the power pack record your results below:



                                                                                  Results
                         A1          +   8V   -
                                                                                  A1 = __A
                                         V1                                       A2 = __A
        V2                                                A4    V4
                                                                                  A3 = __A
                                         V3
                                                                                  A4 = __A
                         A2
                                                                                  V1 = __V
                         A3                                                       V2 = __V
                                                                                  V3 = __V
                                         V4
                                                                                  V4 = __V
Thursday, 16 September 2010
OHMIC
CONDUCTORS

Thursday, 16 September 2010
Lab 14                           OHM’S LAW


      Method
  1. Set up the following circuit using
     iced water to cool the immersion                           +       -
     coil.
  2. Increase the voltage in regular
     increments through an                              A           V
     appropriate range (widest
     possible range)
                                                                                 ice
                                       immersion coil                            beaker
                                                                                 water


 Results

 Voltage setting of Power pack
                                       2        4           6       8       10     12
 (V)

 Voltage, V (V)

 Current, I (A)

Thursday, 16 September 2010
Draw a graph
of Voltage
against Current
on the grid
provided




Conclusion



Notes
• The iced water was used to keep the temperature of the coil constant .
• If the iced water was forgotten and the coil was allowed to heat up then the graph would curve up.

Repeat the experiment but this time replace the coil with a lamp (that will
increase in temperature as the current through it increases)
Thursday, 16 September 2010
RESISTANCE

Thursday, 16 September 2010
RESISTANCE AND POWER in series and parallel


                                                   Measurements              Resistance
                                  Resistance                                 calculated     Calculated
                                  specified     Voltage         Current
                                                                                from       Power output
                                                                            measurements

              R1

              R2

              R3

                                                   across      drawn from
        Resistance calculated                                                For any circuit, set power
                                               combination      the power
  (formula provided for parallel resistors)
                                                of resistors      supply       supply voltage to 8V


      R1 & R2 in series


  R 1 & R2 & R3      in series




     R1 & R2 in parallel


 R 1 & R2 & R3      in parallel


Thursday, 16 September 2010
POWER
Thursday, 16 September 2010
CALCULATING POWER OUTPUT OF APPLIANCES WITH AN
                              ELECTRONIC MONITOR



             Appliance




   UNDER
CONSTRUCTION

Thursday, 16 September 2010
ELECTROMAG

Thursday, 16 September 2010
HANGING MAGNETS I


                              1. Cut out the net
                                                                  2. Suspend the
                                 and fold it at the
                                                                     magnet in the
                                 dotted lines to
                                                                     cradle
                                 create a cradle




                                           S                N
                                 +




                                            3. Use a short
                                               length of cotton     S           N
                                               to suspend the
4. Repeat using a                              magnet from a
   second magnet.                              retort stand


Thursday, 16 September 2010
1. Position your two magnets in the
   HANGING MAGNETS II                        orientations shown
                                          2. For each orientation, record your
                                             observations
                                      N
 A                                                     B
           S                  N
                                                           S             N       N       S
                                      S

     Observation                                           Observation




 C                                                     D
                                                                                     S

      S                N          S           N                     S            N

                                                                                     N

     Observation                                           Observation




Thursday, 16 September 2010
STROKING MAGNETS



                                             A. Try magnetising
                                                an iron nail using
                                                a magnet




                   S                               N




B. Once you have
   finished, check for a
   magnetic field using a
   charm compass.




Thursday, 16 September 2010
PLOTTING MAGNETIC FIELDS

                         Follow the instructions (below) and draw your observations



          A. Place one or more                            B. Use a pencil to mark the
          compasses around a bar                             North pole of each
          magnet                                             magnet using a dot
    Charm compasses (moved around in a
    variety of positions around the magnet




                                                          C. Connect the dots using a
                                                          smooth curve

                                                          D. Plot several field lines
                                                             and mark the North and
                                                             South poles of the magnet.


                                                          E. Wrap your magnet in glad
                                                          wrap and spring iron filings
                                                          over it.

Thursday, 16 September 2010

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Electromagnetism

  • 1. ELECTROMAGNETISM 1. Define the following terms & phrases (charge, static electricity, charging by friction/contact/induction, conductor, insulator, uniform/non-uniform charge distribution, earthing and electrical discharge) 2. Describe the behaviour of like and unlike charges. 3. Name and give symbols for the following: DC power supply, cell, battery, switch, lamp, resistor, variable resistor, wires joined, wires crossing, ammeter, voltmeter & fuse 4. State the symbol and metric unit for: charge, current, voltage, resistance & power 5. Define the following terms and phrases: Ohm’s law, DC electricity, series, parallel, current rules and voltage rules. 6. Describe the differences and similarities in the way ammeters and voltmeters are used. 7. Draw and interpret DC circuit diagrams 8. Solve problems using V = IR, P = VI, P = E and Rtotal = R1 + R2 t 9. Describe the magnetic field patterns around permanent magnets, the earth, currents and coils. 10. State the symbol and unit for magnetic field. 11. Use the right hand grip rule to determine relative field (B) and current (I) directions. 12. Describe how the magnetic field due to a current in a straight wire varies with the size of current and the distance from the wire. 13. Solve problems using B = µ0I 2 πd Thursday, 16 September 2010
  • 4. THE LANGUAGE OF ELECTRICITY Term Definition Word list Charge an electrical quantity based on an excess or deficiency of electrons static a form of electricity where charge does not flow continuously electricity Thursday, 16 September 2010
  • 6. ELECTRO STATICS Thursday, 16 September 2010
  • 7. CHARGING OBJECTS Based on atomic structure Electron (-ve charge) Neutron Proton (+ve charge) The process Empty space 1. Charge transfer - When two objects are in contact with each other, one object can transfer electrons to the other object. Protons are not transferred because they are “locked” into the nucleus. 2. Charge imbalance - When the two objects are moved away from each other the process of charge transfer is unable to be reversed. • Positively charged objects have had electrons removed • Negatively charged objects have gained electrons Oppositely charged objects attract each other. Those with like charges repel. Thursday, 16 September 2010
  • 8. CHARGE INTERACTION Oppositely charged objects Objects with the same attract each other charge repel each other + - + + - - + - + + - - Demo: The Van der Graaf Generator Thursday, 16 September 2010
  • 9. EXAMPLES Read p52 and 53 (Y10 Pathfinder) and then offer some examples to the class discussion: Static electricity around us The History of Electricity Generation Thursday, 16 September 2010
  • 10. LIGHTNING Warm air currents ascend. Ice crystals descend removing electrons from cloud particles in this zone. A zone of positively charged cloud particles results At ground level the air becomes ionized (by losing electrons) and these positively charged particles are attracted to the negatively charged base of the cloud to give rise to a lightning bolt (an upstrike) Thursday, 16 September 2010
  • 11. CLOUD TO GROUND Thursday, 16 September 2010
  • 12. CLOUD TO CLOUD Thursday, 16 September 2010
  • 13. BLUE JETS AND SPRITES Thursday, 16 September 2010
  • 14. CHARGING OBJECTS Methods of charging Induction - the object being charged is not in contact with the object doing the charging (usually a rod or a ruler). It involves charge transfer to or from the earth to generate the charge imbalance in the object being charged. A charge imbalance is a non-uniform charge distribution Eg. -- ++++ ---- The problem with moisture in the air: Moisture prevents objects from holding a + + charge because it transfers charge to or + + from the object resulting in a neutral This symbol object. represents a connection to the earth Contact - the object being charged is contacted by the other object and charge is transferred directly from one object to another. Friction - the object is rubbed by a material that has a greater or lesser affinity for electrons and a transfer takes place. It is more the contact than the friction that is necessary for the charging to take place. Thursday, 16 September 2010
  • 15. The importance of the material Conductors - are materials that allow charges to flow through them. They do not hold a static charge because any charge imbalance is easily conducted away. Insulators - are materials that doe not allow charges to flow through them. They will hold a static charge because the charge imbalance is not easily conducted away. Example - ESA: Ex 15A Q.1 ESA: Ex 15B Q.1, 2 & 3 Thursday, 16 September 2010
  • 16. CURRENT VOLTAGE Thursday, 16 September 2010
  • 17. IN TR O DU CT IO N Thursday, 16 September 2010
  • 18. WHAT IS ELECTRICITY? Thursday, 16 September 2010
  • 19. THE ELECTRICAL CIRCUIT - introducing the idea of the electron pump Thursday, 16 September 2010
  • 20. 1. What is an electric current? 2. What are the two requirements necessary for an electric current to exist? Power Supply + - A conducting path Thursday, 16 September 2010
  • 21. THE GRAVITY MODEL http://regentsprep.org/Regents/physics/phys03/bsimplcir/default.htm A B 1.Which part of the model represents the power supply? 2. Which part of the model represents the component? 3. What type of current is being modelled? Thursday, 16 September 2010
  • 22. THE WATER MODEL 1.Which part of the model represents the power supply? 2. Which part of the model represents the conducting path? 3. Which part of the model represents charge? Thursday, 16 September 2010
  • 23. THE BIKE MODEL C A B 1.Which part of the model represents the power supply? 2. Which part of the model represents the conducting path? 3. Which part of the model represents charge? Thursday, 16 September 2010
  • 24. THE BIKE MODEL one link THINK OF A LINK AS REPRESENTING A COULOMB OF CHARGE 1. In terms of this model, what do you think is meant by the term “current” ?? Thursday, 16 September 2010
  • 25. ELECTRIC CIRCUITS Requirements: Power Supply a power supply conducting path around which charge (electrons or ions) can flow. + - components (and sometimes meters) A component Current A conducting path is a flow of electrons through a circuit Two types: AC - Alternating current (electrons vibrate back and forth in wires) DC - Direct current (electrons flow in wires in one direction only) Conventional current - the direction in which positive charges would flow in wires if they could. Conventional current is from positive to negative in a circuit (see diagram above) http://regentsprep.org/Regents/ physics/phys03/bsimplcir/default.htm Thursday, 16 September 2010
  • 26. ELECTRIC CURRENT Current - is the rate of flow of electrical charge - it is the number of coulombs of electrical charge that passes a point in one second. A coulomb is 6.25 x 1018 charges - I = electric current (measured in amps, A) by an ammeter: Red V Black Connecting an ammeter + - I I A Red Black For charge to flow around an electrical circuit there is a need for a voltage source and a conducting path that is continuous and connects the positive to the negative terminal of the power supply. - + Example charge flows through the circuit as indicated by the arrows Thursday, 16 September 2010
  • 27. VOLTAGE Voltage • Voltage (V) is a measure of the energy lost or gained between two points in a circuit. • It is measured in the units volts , (V) where V = potential difference or voltage (Volts, V) V = ∆Ep q ∆Ep = change in potential energy that a charge experiences when it moves from one side to the other side of a component (Joule, J) q = the unit of charge (Coulomb, C) Unit of Voltage: Joule per Coulomb or Volt (JC-1) or (V) Example V Consider the voltage across a lamp: - + A B 1A If V = 6V then a coulomb of charge has 6J more electrical potential energy at point A than it does at point B Thursday, 16 September 2010
  • 28. Notes CIRCUIT SYMBOLS demo of circuit components -> + - V A • Two wires joined Two wires crossing Cell Lamp Battery (two cells in Switch series) Battery (several Diode cells) Voltmeter Ammeter Resistor Power supply variable resistor fuse (rheostat) Thursday, 16 September 2010
  • 29. RE SI & ST OH A N LA M’ CE W S Thursday, 16 September 2010
  • 30. IN TR O DU CT IO N Thursday, 16 September 2010
  • 31. RESISTANCE & ELECTROCUTION - 1 Thursday, 16 September 2010
  • 32. RESISTANCE & ELECTROCUTION - 2 Thursday, 16 September 2010
  • 34. FACTORS THAT AFFECT RESISTANCE Also, some materials conduct electricity better than others Eg. Copper is better than iron Thursday, 16 September 2010
  • 35. CONDUCTORS & INSULATORS In a conductor, electrons In an insulator, are free to flow electrons are fixed _______________ Label the materials that the _______________ arrows are pointing to Thursday, 16 September 2010
  • 36. THE VOLTAGE-CURRENT RATIO 1. Consider a lamp in an electrical circuit: 12V 2A 12V represents the energy difference across the lamp. This drives electrons through the lamp at the rate (or “speed”) of 2A. The voltage:current ratio is _____ 2. Consider a different lamp in an electrical circuit: 12V 1A This lamp has higher resistance because 12V across this lamp can only drive electrons through the lamp at a rate of 1A. The voltage:current ratio is _____ This example shows that the greater the voltage:current ratio then the greater the resistance is. Resistance is the voltage:current ratio Thursday, 16 September 2010
  • 37. RESISTANCE Definitions 1. Resistance, R is a measure of the “electrical friction” in a conductor. (the opposition to the flow of current) 2. It is the ratio of the voltage across a conductor to the current through it. Resistance = Voltage Current R=V Unit of resistance I is the ohm, Ω V I R Resistance is given by the slope or gradient of a voltage - current graph Example In an experiment, the voltage across a lamp is measured and recorded as the current is increased 1 A at a time. Calculate the resistance of the lamp. V (V) 24 20 16 12 8 4 0 1 2 3 4 5 6 I (A) Thursday, 16 September 2010
  • 38. WHATS HAPPENING TO THE RESISTANCE AS THE CURRENT INCREASES? 24 A conductor that retains a constant 1 V (V) 20 temperature as the current is increased: 16 12 8 4 0 1 2 3 4 5 6 I (A) A conductor that is allowed to heat 24 2 V (V) up as the current is increased 20 16 12 8 4 I (A) 0 1 2 3 4 5 6 A conductor that is cooled progressively 3 V (V) 24 20 as the current is increased 16 12 8 4 I (A) 0 1 2 3 4 5 6 Thursday, 16 September 2010
  • 39. MODELLING TEMPERATURE INCREASE IN A WIRE SHAKING Thursday, 16 September 2010
  • 41. LIMITATIONS OF OHM’S LAW 24 V (V) 20 When a temperature of a lamp increases its 16 resistance increases 12 8 4 I (A) 0 1 2 3 4 5 6 For most conductors, as the temperature increases the increased vibration of particles impedes the flow of electrons. Resistance in the conductor will therefore increase. The graph slopes upwards. V (V) 24 The resistance of a thermistor decreases as its 20 16 temperature decreases 12 8 4 I (A) 0 1 2 3 4 5 6 Thursday, 16 September 2010
  • 42. BASIC RESISTANCE PROBLEMS 1. What is the resistance of a bulb it a 240 V supply causes a current of 2 A to flow through it? 2. What current flows through a heating element of 40Ω resistance when the element is plugged into a 240 V supply? 3. If a current of 3 A is flowing in a resistor across which there is a voltage of 6 V, what is the resistance? 4. What current must be flowing through a lamp of 0.5Ω resistance if there is a voltage of 6V across it? 5. A current of 2 A flows through a 6Ω resistor. What is the voltage across it? 6. What voltage is needed it a current of 5A is to flow through a resistance of 3Ω? Thursday, 16 September 2010
  • 43. RESISTANCE CALCULATIONS Resistors which are connected end to end are in series with one another R1 R2 The total resistance of the series combination, Rs is the sum of the resistances R1 and R2. For two or more resistors in series: Rs = R1 + R2 + ........... Resistors which are connected side by side are in parallel with each other. R1 R2 The total resistance of the parallel combination, Rp is less than any individual resistor in the combination. For two or more resistors in parallel 1 1 1 + .... the total resistance,Rp is given by: RP = R1 + R2 Thursday, 16 September 2010
  • 45. SERIES & PARALLEL Thursday, 16 September 2010
  • 46. CIRCUITS: diagrams & assembly Draw the following circuit diagrams in the spaces provided AND when you have finished, assemble them: 1. + - 2. + - 3. A V + - Voltmeters are connected _________ components, ammeters are connected _____ a circuit Thursday, 16 September 2010
  • 47. CHARACTERISTICS OF SERIES & PARALLEL CIRCUITS Series Parallel + - + - + - + - components connected each component has its own 1._ 1._ connection with the power one other the other. supply 2._ Single pathway 2._ more than one pathway 3._ No junctions 3._ One or more junctions Thursday, 16 September 2010
  • 48. http://phet.colorado.edu/simulations/ CIRCUIT CONSTRUCTION sims.php? sim=Circuit_Construction_Kit_DC_Only 1. Enter the URL (above) into the address bar of your internet browser. 2. Use the simulation tools to construct each of the following 3 circuits (ensure that you use identical lamps and an the same power supply for each circuit). 3. Record the current in each circuit and explain your observation. 4. Repeat this exercise for the second set of 3 circuits. 1 2 3 + - + - + - A A A 3 + - 2 A 1 + - + - A A Thursday, 16 September 2010
  • 49. DRAW THE CIRCUITS AND SET THEM UP Thursday, 16 September 2010
  • 50. CIRCUIT RULES Thursday, 16 September 2010
  • 51. VOLTAGE & CURRENT IN SERIES CIRCUITS + - VT A1 A3 I1 I3 I2 A2 V1 V2 Current in series is constant I1 = I2 = I3 Voltage in series is shared VT = V1 + V2 Note Voltage is shared in proportion to the size of the resistance Thursday, 16 September 2010
  • 52. PARALLEL CIRCUITS + - Current in parallel is shared IT VT IT R1 IT = I1 + I2 I1 in other words “charge splits up as it enters a junction in a circuit” V1 R2 I2 Voltage in parallel is constant V2 VT = V1 = V2 Note Current is shared in an inverse proportion to the size of the resistance. For example: If R1 = 5 and R2 = 10 and IT = 3 “Double the resistance then halve the current” then I1 = 2 and I2 = 1 Thursday, 16 September 2010
  • 53. SIMPLE CIRCUIT CALCULATIONS Example 1 + 8V - A3 = ________ 3A A1 V1 V1 = ________ 2A A2 R1 V2 = ________ A3 R2 Rules used V2 ____________________________________________________________________ ____________________________________________________________________ Example 2 + 8V - 3V V1 V2 V1 = ________ R1 Rule used ___________________________________________________________ Thursday, 16 September 2010
  • 54. Example 3 + 8V - A4 A3 = ________ 3V 4A A1 V1 V3 A4 = ________ 3A A2 R1 V2 = ________ V3 = ________ A3 R2 Rules used V2 ______________________ ______________________ ______________________ Example 4 ______________________ ______________________ + 8V - A4 A1 = ________ A1 3A A4 = ________ A2 Rule used ____________________ 4A ____________________ A3 ____________________ Thursday, 16 September 2010
  • 55. ADVANCED CIRCUIT CALCULATIONS Examples + 9V - 1 A1 V1 A3 5Ω 10Ω A2 V2 V3 For the circuit represented by the circuit diagram above, what is the reading on: (a) V1 (b) A2 (c) V2 (d) V3 Thursday, 16 September 2010
  • 56. 2 + 15V - V1 5Ω A3 V2 A1 V3 R 10Ω A2 For the circuit represented by the circuit diagram above, what is the reading on: (a) V3 if V2 = 10 V (b) A1 (c) A2 (d) A3 (e) What is the value of resistor R? Thursday, 16 September 2010
  • 57. 3 + 12V - V1 1A 2Ω 4.8Ω V3 A1 V2 3Ω A2 For the circuit represented by the circuit diagram above, what is the reading on: (a) V1 (b) V2 (c) V3 (d) A2 Thursday, 16 September 2010
  • 58. RESISTORS IN SERIES + - R1 RT = R1 + R2 R2 Examples 1 2 25 Ω 30 Ω 50 Ω 100 Ω 100 Ω 100 Ω • • Total resistance = Total resistance = As we add resistors in series the resistance increases and therefore the current drawn decreases As we add resistors in parallel the resistance decreases and therefore the current drawn increases Thursday, 16 September 2010
  • 59. OT HE R ST UF F Thursday, 16 September 2010
  • 60. ESA: 13B Q.5 to 8 Thursday, 16 September 2010
  • 61. ESA: 13B Q.5 to 8 Thursday, 16 September 2010
  • 63. INTRODUCING “EMF” & “ELECTRICAL POTENTIAL Thursday, 16 September 2010
  • 65. + 9V - One of these meters has IT a very high resistance The other meter has a A low resistance. Which is which? V Explain your answer Thursday, 16 September 2010
  • 66. METERS Ammeter + 9V - 1. connected in series with IT other components A 2. has low resistance so that it doesn’t slow the current that it is supposed to be measuring Voltmeter 1. connected in parallel with other V components 2. has high resistance so that it doesn’t allow much current to flow through it. This would reduce the current and voltage through the component. It is supposed to be measuring the voltage Thursday, 16 September 2010
  • 67. POWER & ENERGY Thursday, 16 September 2010
  • 68. POWER • Power is the rate at which electrical energy is transferred into other forms of energy. • It is the amount of work done per second E E = the amount of energy converted or work done (J) P = E t P t t = the time taken (s) • It can be shown that the electrical power supplied to a device is given by: P P = power (watts, W) (1W = 1 Js-1) P = VI V I V = Voltage (volts, V) I = Current (amps, A) P = Power (Watts, W) Thursday, 16 September 2010
  • 69. POWER & ENERGY Total energy used by a component/appliance can be calculated from the equation: E = P.t When the power value of the component/appliance is known and this value does not change over time. If power changes over time then this change can be graphed. P (W) 14 E = Area under the graph 12 10 8 E = 0.5 (9 + 13) = 4.4 J 6 10 4 2 0 2 4 6 8 10 t (s) Thursday, 16 September 2010
  • 70. TOTAL POWER USAGE in a parallel circuit Example The power usage of the 4 lamps in parallel shown in the circuit below can be calculated in two ways: (i) Use the total voltage (supply voltage) and the total current (current drawn from the supply) to calculate power. (ii) Add the power usage of each of the components in parallel. (i) lamps 1 & 2: I = P 12 V V = 6/12 = 0.5 A 12 V P1 6W Lamps 3 & 4: I = P V 12 V = 12/12 P2 6W =1A 12 V IT = I1 + I2 + I3 + I4 = 0.5 + 0.5 + 1 + 1 = 3A P3 12 W P = VTIT = 12 x 3 = 36 A 12 V P4 12 W (ii) PT = P1 + P2 + P3 + P4 = 12 + 12 + 6 + 6 = 36 W Thursday, 16 September 2010
  • 71. LAMP BRIGHTNESS IN CIRCUITS Three main points (i) The brightness of a lamp depends on its power output since for a lamp, power is the rate at which electrical energy is converted into light (and heat) (ii) In a circuit which has values of voltage and current, it is both the voltage and current that determine brightness. (iii) The lamp’s resistance will determine that voltage:current ratio that it possesses Example: The series circuit (below), shows 2 identical lamps. A third identical lamp is added to the circuit. Explain how the brightness of the lamps in the circuit changes 12 V + - Thursday, 16 September 2010
  • 73. POWERING THROUGH THE QUESTIONS TV Stereo Jug Heater Stove torch downlight Voltage (V) 240 240 240 6 Current (A) 0.3 0.02 8 0.05 Resistance (Ω) 250 450 Power (W) 1000 1200 1800 0.3 140 Running time 20 min 20 min 10 min 3h (s) Energy (J) 1000 125000 300000 Thursday, 16 September 2010
  • 74. “PARALLEL WITHIN SERIES” 0.5 A + 9V - A 9 V battery is connected in the circuit shown. 10Ω A current of 0.5 A is found to 0.1 A pass through the 10Ω resistor. 40Ω X (a) Calculate the voltage across the 10Ω resistor. (b) Show that the voltage across the parallel combination of resistors is 4.0 V. (c) If 0.1 A passes through the 40Ω resistor, determine the current through resistor X. (d) Show that the resistance of resistor X is 10Ω. (e) Determine the heat energy generated per second in the whole circuit. Thursday, 16 September 2010
  • 75. PARALLEL CIRCUIT IN ACTION A car has two tail lights and two brake lights connected as shown in the diagram: (a) Calculate the resistance of: (i) a tail light (ii) a brake light (b) Calculate the current supplied by the battery when both S1 and S2 are closed. (c) When the driver takes her foot off the brake S2 is opened state what happens to the size of the current from the battery and give a reason for your answer. Thursday, 16 September 2010
  • 76. Y11 Sci - W & W Thursday, 16 September 2010
  • 77. Y11 Sci - W & W Thursday, 16 September 2010
  • 78. answers “PARALLEL WITHIN SERIES” (a) 5V (b) V in series is shared. The combination of the 40Ω resistor and X are in series with the 10Ω. Therefore V of the combination is 9 - 5 = 4 (c) Current through X = 0.5 - 0.1 = 0.4A because current in parallel is shared. The total current flowing from the power supply is shared out between the 40Ω resistor and X. (d) I through X = 0.4A and V across X = 4V (since voltage in parallel is constant). R = V/I = 4/0.4 = 10Ω (e) “Heat energy per second” is the definition of power. For the whole circuit, I = 0.5A and V = 9V. P = VI = 9 x 0.5 = 4.5W PARALLEL CIRCUIT IN ACTION (a) The current through a tail light needs to be calculated first: P = VI => I = P/V = 6/12 = 0.5A For a tail light, R = V/I = 12/0.5 = 24 Ω For a brake light, P = VI => I = P/V = 12/12 = 1A R = V/I = 12/1 = 12 Ω (b) I total = 2 x 0.5 + 2 x 1 = 3 A (c) Less current flows through the battery because there is now more resistance in the circuit because of the reduction in the number of pathways available for charge to flow. Thursday, 16 September 2010
  • 79. MAGNETIC FIELDS Thursday, 16 September 2010
  • 80. THE MAGNETIC FIELD AROUND A BAR MAGNET AND THE EARTH’S MAGNETIC FIELD Thursday, 16 September 2010
  • 81. ---> Demo c bar magnet & major magnet WHAT IS MAGNETISM? • Magnetism is caused by moving electrons. (The smallest magnetic field is produced by the motion of 1 electron) • When electrons move in a common direction, a magnetic field is produced (sometimes called a magnetic force field) • A force will be exerted on an iron object placed in a magnetic field. • A magnetic field is a region in space where a magnetic force can be detected. The magnetic field around a bar magnet Charm compass S Magnetic field lines The compass needle is itself a tiny magnet (the N North pole of this magnet points towards the South end of the magnet) Strong magnetic field (high density of lines) Thursday, 16 September 2010
  • 82. THE EARTH’S MAGNETIC FIELD θ (angle of declination) = 11o Geographic North Magnetic South compass S N Earth’s axis • θ changes with time • Angle of Dip - is the angle that the field lines make with the ground. At the equator, the angle of dip is zero. Near the poles the angle of dip is close to 90 degrees. Thursday, 16 September 2010
  • 83. THE EARTH’S MAGNETIC FIELD IS ESSENTIAL FOR LIFE ON THE PLANET. Home to millions of species including humans, Earth is currently the only place in the universe where life is known to exist. The planet formed 4.54 billion years ago, and life appeared on its surface within a billion years. Since then, Earth's biosphere has significantly altered the atmosphere and other abiotic conditions on the planet, enabling the proliferation of aerobic organisms as well as the formation of the ozone layer which, together with Earth's magnetic field, blocks harmful solar radiation, permitting life on land. The physical properties of the Earth, as well as its geological history and orbit, have allowed life to persist during this period. The planet is expected to continue supporting life for at least another 500 million years. Thursday, 16 September 2010
  • 84. MAGNETIC DOMAINS Thursday, 16 September 2010
  • 85. MAGNETIC MAGIC --> MAGNETIC DOMAINS Thursday, 16 September 2010
  • 86. MAGNETIC THEORY Ferromagnetic materials (Iron, Cobalt and Nickel) can be permanently magnetised. Electrons spinning in atoms have magnetic fields around them. They set up tiny North and South poles. Such an arrangement for an electron is called a dipole moment. [Illustrate a mag. dipole and mention Exchange Coupling] N N e S S For most elements: magnetic fields cancel. Iron, Cobalt and Nickel: Electron structure is such that there is a resultant magnetic field produced by each atom. These atoms are sometimes called atomic magnets.) Thursday, 16 September 2010
  • 87. DOMAINS Regions in a metal where the orientation of the magnetic dipoles is the same are called domains. A domain Unmagnetised Iron Here, a large number of iron atoms => Domains are (magnetic dipoles) scrambled are aligned. Partially magnetised S N Fully magnetised => the orientation of the domains is the S N same Thursday, 16 September 2010
  • 88. BREAKING A MAGNET Thursday, 16 September 2010
  • 89. MAGNETISING AND DEMAGNETISING [Solenoid Demo] “Lining up” the domains - Magnetising • Stroke the object end to end with a permanent magnet , in the same direction, using the same pole of the magnet. • Hold the object inside an D.C or A.C solenoid (Domains line up in the direction of the magnetic field) “Scrambling” the domains - Demagnetising Heat or hammer the magnet (This disturbs the alignment of the domains) [CAN ALSO BE DEMONSTRATED WITH THE SOLENOID] “Domains are induced into alignment” - Picking up iron objects Thursday, 16 September 2010
  • 95. WIRES A circular magnetic field is formed around a straight current - carrying conductor: 3D View I View from above The direction of the magnetic field lines is given by the Right-hand Thumb Rule • ( “•” represents current directed out of the page) The right hand thumb rule: Thumb = direction of the electric current Curled fingers = direction of the circular magnetic field Thursday, 16 September 2010
  • 96. “View” from above” I • Magnetic field lines Thursday, 16 September 2010
  • 97. B = Magnetic field strength (in Tesla,T) I = Electric current in the wire (in Amps,A) B = µ0I 2 d π µo= the permittivity of free space (the ability of a material to support a magnetic field (TmA-1) d = Distance from the wire (in metres, m) Note 1. Reversing the direction of the current reverses the direction of the magnetic field. 2. Magnetic field strength (symbol, B) is measured in NA-1m-1 or Tesla,T. 3. As the current in the wire, I increases the strength of the magnetic field increases BαI i.e. B is proportional to I 4. As the distance,d from the wire increases the strength of the magnetic field decreases. B α 1/d i.e. B is inversely proportional to d Thursday, 16 September 2010
  • 98. Example A special meter able to measure the magnetic field strength at any given point in the vicinity of a wire is shown below (taking a reading). It measures the magnetic field strength as 8 x 10-4 T at a distance of 0.01m from the centre of the wire. The current through the wire is 5 A. Calculate the value of the constant µo. Exercises B I d µo 5 x 10-5 T 2A 20 mm 3.14 x 10-6 6 x 10-5 T 3A 0.159 m 2 x 10-5 TmA-1 7.2 x 10-5 T 3.11 A 2.2 cm 3.2 x 10-6 TmA-1 1.05 x 10-3 3A 20 mm 4.4 x 10-5 TmA-1 Thursday, 16 September 2010
  • 99. CURRENT CARRYING CONDUCTOR AND MAGNETIC FIELD -----> COIL Thursday, 16 September 2010
  • 101. THE SOLENOID The magnetic field of a solenoid is similar in shape to that of a bar magnet: Draw the field lines If the current is known, the poles of the solenoid can be determined using the right hand thumb rule applied earlier to the straight wire: Complete this: Field lines are parallel in the core of the solenoid which --> the magnetic field in the core is uniform. The density of magnetic field lines is greatest in the core --> the magnetic field strength is greatest in the core. Thursday, 16 September 2010
  • 102. STRENGTH RULZ Factors affecting the strength of the magnetic field: 1. Increasing the current increases the magnetic field strength. 2. Increasing the number of turns of wire per given length of the electromagnet increases the magnetic field strength Predicting North and South poles: Thumb points to North pole of the solenoid from inside the coil Curled fingers indicate the direction of the current Thursday, 16 September 2010
  • 103. ELECTROMAGNETS A solenoid which contains an iron core is called an electromagnet. Adding an iron core increases the strength of the magnetic field because the iron core itself becomes magnetised and adds to the magnetic field of the solenoid. Uses of electromagnets 1. Electromagnets in relays are able to open and close electrical circuits (eg. starter motor circuit in a car). 2. Used in scrap yards to lift car bodies. 3. Create the ringing sound in electric bells. 4. Electromagnets in the recording heads of tape recorders are used to magnetise the audio tape during recording. Thursday, 16 September 2010
  • 104. THE COIL GUN Induced magnetism An unmagnetised object will have have its domains aligned and therefore develop a north and south pole. The object can be picked up by the magnet because opposite poles attract. Cross-section of coil Attraction to x x x x x x x x North of coil Attraction to South of coil N S N - - - - - - - - North end of coil South end The dipoles in the object change along the rod as the rod is drawn into the coil and it is this dipole change which pulls the rod into the coil Thursday, 16 September 2010
  • 110. PLAYING AROUND WITH STATIC ELECTRICITY 1 plastic rod (charged by rubbing with a cloth) small pieces of torn paper Observation: Explanation: 2 Balloon rubbed against hair Removed from head and then brought back to hair Observation: Explanation: Thursday, 16 September 2010
  • 111. 3 Balloon rubbed against jersey Release Observation: Explanation: cotton (a) Each balloon charged separately by rubbing against 4 the sleeve of a jersey (b) Holding the balloons by the cotton, release them, allowing them to come close to each other. Observation: Explanation: Thursday, 16 September 2010
  • 112. 5 (a) Straw, charged at both (b) Straw, also charged using a ends (using a woollen woollen cloth held horizontally cloth) and brought close (c) Repeat (b) using a silk cloth. Observation: Explanation: Charged plastic rod is held near a thin stream of water 6 Observation: Explanation: http://phet.colorado.edu/new/simulations/sims.php? sim=Balloons_and_Static_Electricity Thursday, 16 September 2010
  • 113. Equipment CHARGING OBJECTS dry cloth/jersey Cap perspex rod Insulating material ebonite rod electroscope Body of electroscope Leaf Base Aim to charge an electroscope by both induction and by contact and to draw charge distribution diagrams Method 1. Follow the instructions below 2. Write observations as you perform each step 3. Complete the diagrams only after recording the observations (you may need some help with these) Part 1 - Charging by induction 1. Charge the rod by rubbing it with a dry cloth/jersey and hold the rod near the cap of the electroscope ++++ ---- Observation: + + + + If the rod was positively charged the charge distribution diagram would look like this: Thursday, 16 September 2010
  • 114. Complete the diagram to show how charges would distribute on the electroscope should the rod be negatively charged. ---- 2. With the rod in this position, earth the cap with your finger. Observation: ++++ ---- + + + + This symbol Complete the diagram to show how charge moves represents a when the cap of the electroscope is earthed connection to the earth Thursday, 16 September 2010
  • 115. Draw the charge distribution diagram (by adding to ++++ the existing diagram on the right) showing the ---- situation once this charge movement has finished. + + + + 3. Unearth the cap of the electroscope without removing the charged rod Observation: Draw the resultant charge distribution and the new position of the leaf on the diagram (right). 4. Remove the charged rod Observation: Finally, complete the diagram (right). Thursday, 16 September 2010
  • 116. Part 2 - Charging by contact Method 1. Follow the instructions below 2. Write observations as you perform each step 3. Complete the diagrams only after recording the observations (you may need some help with these) 1. A positively charged rod is held near the cap of the electroscope. ++++ 2. The rod makes contact with the cap. 3. The rod is removed. Thursday, 16 September 2010
  • 117. Lab 12 ALL CHARGED UP Equipment dry cloth/jersey Cap perspex rod Insulating material ebonite rod electroscope Body of electroscope Leaf Base Aim to charge an electroscope by both induction and by contact and to draw charge distribution diagrams Method 1. Follow the instructions below 2. Write observations as you perform each step 3. Complete the diagrams only after recording the observations (you may need some help with these) Part 1 - Charging by induction 1. Charge the rod by rubbing it with a dry cloth/jersey and hold the rod near the cap of the electroscope ++++ ---- Observation: The leaf of the electroscope springs up. + + + + If the rod was positively charged the charge distribution diagram would look like this: Thursday, 16 September 2010
  • 118. Complete the diagram to show how charges would distribute on the electroscope should the rod be negatively charged. Electrons at the cap are repelled by the negatively ---- ++++ charged rod. - - - - Electrons at the cap are held in position by the positively charged rod. The earth supplies electrons to the positively charged leaf and lower stem. 2. With the rod in this position, earth the cap with your finger. Observation: -- ++++ ---- Leaf of the electroscope drops + + + + This symbol Complete the diagram to show how charge moves represents a when the cap of the electroscope is earthed connection to the earth Thursday, 16 September 2010
  • 119. Draw the charge distribution diagram (by adding to ++++ the existing diagram on the right) showing the - - - - situation once this charge movement has finished. - The cap and leaf now have + - +- + + no overall charge. - Electrons on the cap are still held in position. 3. Unearth the cap of the electroscope without removing the ++++ charged rod - - - - Observation: Leaf of the electroscope remains in the “dropped” position. The charge distribution has not changed - + + - - + - + Draw the resultant charge distribution and the new position of the leaf on the diagram (right). Negative charge redistributes itself 4. Remove the charged rod around the metal parts of the electroscope leaving the stem and - - Observation: leaf with an overall negative charge The leaf of the electroscope springs up. - -+ + - - + + - - Finally, complete the diagram (right). Thursday, 16 September 2010
  • 120. Part 2 - Charging by contact Method 1. Follow the instructions below 2. Write observations as you perform each step 3. Complete the diagrams only after recording the observations (you may need some help with these) 1. A positively charged rod is held near the cap of the electroscope. ++++ - - - - Charge separation occurs. Positive repels positive at the stem/leaf + + + + 2. The rod makes contact with the cap. - Electrons migrate up + + into the rod + + 3. The rod is removed. + + + The electroscope is now left with + + an overall positive charge. + + Thursday, 16 September 2010
  • 121. SPARKS 12 Physics > resources > electricity > DC electricity > videos Thursday, 16 September 2010
  • 122. THE VAN DER GRAAF Label the picture of the Van der Graaf (left) using the labels in the box below ______________ Lower roller ______________ Belt - A piece of surgical tubing ______________ Output terminal - an aluminium or steel sphere Upper roller - A piece of nylon ______________ Motor ______________ Upper brush - A piece of fine metal wire ______________ Lower Brush ______________ • When the generator is turned on, the electric motor begins turning the belt. • The belt is made of rubber and the lower roller is covered in silicon tape. Silicon has a greater affinity for electrons than rubber and so it captures electrons from the belt. The belt in turn must capture electrons from the dome, leaving the dome positively charged. Reference: http://science.howstuffworks.com/vdg3.htm Thursday, 16 September 2010
  • 123. THE VAN DER GRAAF - OBSERVATIONS & EXPLANATIONS 1. Small dome held close to generator dome Drawn observation Explanation 2. Hair stands on end when contact is made with the generator dome Drawn observation Explanation 3. Aluminium foil plates flying of the top of the generator dome Drawn observation Explanation Thursday, 16 September 2010
  • 125. CIRCUIT RULES Thursday, 16 September 2010
  • 126. ADDING BULBS IN PARALLEL 1. Set up each of the following circuits, one after the other (making a mental note of the brightness of the lamps in the circuit. 2. For each circuit read the ammeter and record the current in the space provided. 1 2 3 8V 8V 8V + - + - + - A A A Current = ______ A Current = ______ A Current = ______ A Observation Explanation Thursday, 16 September 2010
  • 127. ADDING BULBS IN SERIES 1. Set up each of the following circuits, one after the other (making a mental note of the brightness of the lamps in the circuit. 2. For each circuit read the ammeter and record the current in the space provided. 1 2 3 + - + - + - A A A Current = ______ A Current = ______ A Current = ______ A Observation Explanation Thursday, 16 September 2010
  • 128. CURRENT IN THE SERIES CIRCUIT IS CONSTANT Aim to look for a pattern in the current through bulbs and resistors in a series circuit. 1. Use ONE ammeter in the three different places shown in the circuit diagram. 2. Without changing the setting on the power pack or the variable resistor write the current readings in the spaces provided (below): A1 + 8V - A1 = ______ A A3 A2 = ______ A A3 = ______ A A2 Equation Thursday, 16 September 2010
  • 129. CURRENT IN THE PARALLEL CIRCUIT IS SHARED Aim to look for a pattern in the current through bulbs and resistors in a parallel circuit. 1. Use ONE ammeter in the each of the four places shown in the circuit diagram. 2. Without changing the setting on the power pack record your results below: + 8V - Results A1 A4 A1 = ____ A A2 = ____ A A2 A3 = ____ A A4 = ____ A A3 Conclusion Current in a parallel circuit is ____________ . Equation relating the currents Thursday, 16 September 2010
  • 130. VOLTAGE IN THE SERIES CIRCUIT IS SHARED Aim to look for a pattern in the voltages across bulbs and resistors in a series circuit. 1. Set up the circuit (below) 2. Use ONE voltmeter in the three different places shown in the circuit diagram. 3. Without changing the setting on the power pack record your results below: + 8V - Results V1 V1 (power supply) = __ V V2 V4 A V2 (variable resistor) = __ V V3 V3 (bulb) = __ V V3 (ammeter) = __ V Conclusion The power supply voltage is _____________ between the components in the circuit Equation relating the voltages Thursday, 16 September 2010
  • 131. VOLTAGE IN THE PARALLEL CIRCUIT IS CONSTANT Aim to look for a pattern in the voltages across bulbs and resistors in a series circuit. 1. Set up the circuit (below) 2. Use ONE voltmeter in the three different places shown in the circuit diagram. 3. Without changing the setting on the power pack record your results below: + 8V - V1 Results V1 = ___ V V2 V2 = ___ V V3 = ___ V V3 Conclusion The voltage across components connected in parallel is __________ Equation relating the voltages Thursday, 16 September 2010
  • 132. VOLTAGES AND CURRENTS IN SERIES AND PARALLEL Aim to investigate voltage and current in a series circuit that has a parallel portion in it. 1. Set up the circuit (below) 2. Use ONE voltmeter in the four different places shown in the circuit diagram and ONE ammeter in the four different places shown. 3. Without changing the setting on the power pack record your results below: Results A1 + 8V - A1 = __A V1 A2 = __A V2 A4 V4 A3 = __A V3 A4 = __A A2 V1 = __V A3 V2 = __V V3 = __V V4 V4 = __V Thursday, 16 September 2010
  • 134. Lab 14 OHM’S LAW Method 1. Set up the following circuit using iced water to cool the immersion + - coil. 2. Increase the voltage in regular increments through an A V appropriate range (widest possible range) ice immersion coil beaker water Results Voltage setting of Power pack 2 4 6 8 10 12 (V) Voltage, V (V) Current, I (A) Thursday, 16 September 2010
  • 135. Draw a graph of Voltage against Current on the grid provided Conclusion Notes • The iced water was used to keep the temperature of the coil constant . • If the iced water was forgotten and the coil was allowed to heat up then the graph would curve up. Repeat the experiment but this time replace the coil with a lamp (that will increase in temperature as the current through it increases) Thursday, 16 September 2010
  • 137. RESISTANCE AND POWER in series and parallel Measurements Resistance Resistance calculated Calculated specified Voltage Current from Power output measurements R1 R2 R3 across drawn from Resistance calculated For any circuit, set power combination the power (formula provided for parallel resistors) of resistors supply supply voltage to 8V R1 & R2 in series R 1 & R2 & R3 in series R1 & R2 in parallel R 1 & R2 & R3 in parallel Thursday, 16 September 2010
  • 139. CALCULATING POWER OUTPUT OF APPLIANCES WITH AN ELECTRONIC MONITOR Appliance UNDER CONSTRUCTION Thursday, 16 September 2010
  • 141. HANGING MAGNETS I 1. Cut out the net 2. Suspend the and fold it at the magnet in the dotted lines to cradle create a cradle S N + 3. Use a short length of cotton S N to suspend the 4. Repeat using a magnet from a second magnet. retort stand Thursday, 16 September 2010
  • 142. 1. Position your two magnets in the HANGING MAGNETS II orientations shown 2. For each orientation, record your observations N A B S N S N N S S Observation Observation C D S S N S N S N N Observation Observation Thursday, 16 September 2010
  • 143. STROKING MAGNETS A. Try magnetising an iron nail using a magnet S N B. Once you have finished, check for a magnetic field using a charm compass. Thursday, 16 September 2010
  • 144. PLOTTING MAGNETIC FIELDS Follow the instructions (below) and draw your observations A. Place one or more B. Use a pencil to mark the compasses around a bar North pole of each magnet magnet using a dot Charm compasses (moved around in a variety of positions around the magnet C. Connect the dots using a smooth curve D. Plot several field lines and mark the North and South poles of the magnet. E. Wrap your magnet in glad wrap and spring iron filings over it. Thursday, 16 September 2010