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Factors Affecting
       Resistance
Reported By: Ralph Lery Guerrero
             Kevin Roxas
             Marco Lauro Delos Santos
Resistance



• Is defined as an obstacle to
  the flow of electric current.
• Is the opposition offered by
  any object to the passage of
  an electric current through
  it.
Length

• Resistance of a conductor is directly
  proportional to the length of the wire i.e.,
  longer the wire greater will be the
  resistance and shorter the wire smaller will
  be the resistance. If L represents the length
  of the uniform wire, then
                   RL
Length



                    R1/R2=l1/l2
Where
        R1= resistance of the first conductor(in ohms)
        R2= resistance of the second conductor(in
ohms)
        l1=length of the first conductor (in cm)
        l2=length of the second conductor (in cm)
Length

• Resistivity- is the resistance per unit
  length of a specific substance to
  electric force.
Length

• The volume control of your radio is a
  variable resistor. As you turn the
  volume control knob, the effective the
  length of the resistance changes.

• Resistance and the amount of current
  passing through the circuit change,
  making the sound from the speaker
  soft and loud.
Diameter (Cross-sectional area)

• Resistance of a conductor is inversely
  proportional to the area of the cross-
  section of the uniform wire. That means,
  thinner the wire, greater the resistance
  and thicker the wire, lower the
  resistance. If A is the area of cross-
  section of the uniform wire, then,
Diameter (Cross-sectional area)




   If the cross-sectional area is
   doubled, twice as many electrons
   became available to flow so that
   the current is doubled.
Diameter (Cross-sectional area)

               R1/R2=d22/d12


Some connecting wires are made of stranded thin
   wires.
Stranding wires has the same effect as increasing
   cross-sectional area.
The wire’s gauge number specifies its size. The
   smaller gauge number, the thicker the wire.
   Hence, the lesser the resistance of the
   conductor.
Diameter (Cross-sectional area)

Problem

      An iron wire conductor with a
  diameter of 0.8 mm has a
  resistance of 0.4 ohm Ω. Calculate
  the resistance of a n iron wire 0.4
  mm in diameter.
Find:
  R2
Diameter (Cross-sectional area)

Given:
  R1=0.4Ω
  d1=0.8mm
  d2=0.4mm
Solution:
R1/R2=d22/d12
0.4Ω/R2=(0.4mm)2/(0.8mm)2
R2=(0.4Ω)(0.64mm)2/0.16mm2

R2=1.60Ω
Temperature

•   The resistance of a metallic
    conductor increases as the
    temperature increases e.g.
    copper

•   The resistance of a
    semiconductor/insulator
    decreases as the temperature
    increases
Temperature




Resistance increases with the temperature.
Kind of Material (Resistivity)




• The material also affects the
  resistance of a conductor by a fixed
  amount for different materials. This
  is known as resistivity ().

   R = L       = constant of proportionality
       A
Kind of Material (Resistivity)

Resistors- conductors whose
  resistance is constant when
  the temperature is constant.
Kind of Material (Resistivity)
                    Material                     Resistivity (W m)
Conductors          Silver                       1.60 x 10-8
                    Copper                       1.62 x 10-8
                    Aluminium                    2.63 x 10-8
                    Tungsten                     5.20 x 10-8
                    Nickel                       6.84 x 10-8
                    Iron                         10.0 x 10-8
                    Chromium                     12.9 x 10-8
                    Mercury                      94.0 x 10-8
                    Manganese                    1.84 x 10-6
                    Constantan (alloy of Cu
Alloys                                           49 x 10-6
                    and Ni)
                    Manganin (alloy of Cu, Mn
                                              44 x 10-6
                    and Ni)

                    Nichrome (alloy of Ni, Cr,
                                                 100 x 10-6
                    Mn and Fe)
Insulators          Glass                        1010 - 1014
                    Hard rubber                  1013 - 1016
                    Ebonite                      1015 - 1017
                    Diamond                      1012 - 1013
                    Paper (dry)                  1012
Kind of Material (Resistivity)

Problem
Given:                     Find:
L=15 m                             R
Diameter=0.085 cm
= 1.6x10-8 Ωm
T=20°C
Solutions:
Conversion: d= 0.085cm/100 cm x
  1m
           d= (8.5x10-4m)
Kind of Material (Resistivity)

a.)   r=1/2d
      r=8.5x10-4 m/2
      r= 4.25x10-4 m



b.)   A=πr2
      A=(3.14)(4.25x10-4 m)2
      A=5.67x10-7
Kind of Material (Resistivity)



c.)   R = L
          A
      R=(1.6x10-8Ωm)(15m)
           5.67x10-7m2
      R=0.4Ω
Signing Off …    By: RLUG

THANK YOU! =))

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Factors affecting resistance

  • 1. Factors Affecting Resistance Reported By: Ralph Lery Guerrero Kevin Roxas Marco Lauro Delos Santos
  • 2. Resistance • Is defined as an obstacle to the flow of electric current. • Is the opposition offered by any object to the passage of an electric current through it.
  • 3. Length • Resistance of a conductor is directly proportional to the length of the wire i.e., longer the wire greater will be the resistance and shorter the wire smaller will be the resistance. If L represents the length of the uniform wire, then RL
  • 4. Length R1/R2=l1/l2 Where R1= resistance of the first conductor(in ohms) R2= resistance of the second conductor(in ohms) l1=length of the first conductor (in cm) l2=length of the second conductor (in cm)
  • 5. Length • Resistivity- is the resistance per unit length of a specific substance to electric force.
  • 6. Length • The volume control of your radio is a variable resistor. As you turn the volume control knob, the effective the length of the resistance changes. • Resistance and the amount of current passing through the circuit change, making the sound from the speaker soft and loud.
  • 7. Diameter (Cross-sectional area) • Resistance of a conductor is inversely proportional to the area of the cross- section of the uniform wire. That means, thinner the wire, greater the resistance and thicker the wire, lower the resistance. If A is the area of cross- section of the uniform wire, then,
  • 8. Diameter (Cross-sectional area) If the cross-sectional area is doubled, twice as many electrons became available to flow so that the current is doubled.
  • 9. Diameter (Cross-sectional area) R1/R2=d22/d12 Some connecting wires are made of stranded thin wires. Stranding wires has the same effect as increasing cross-sectional area. The wire’s gauge number specifies its size. The smaller gauge number, the thicker the wire. Hence, the lesser the resistance of the conductor.
  • 10. Diameter (Cross-sectional area) Problem An iron wire conductor with a diameter of 0.8 mm has a resistance of 0.4 ohm Ω. Calculate the resistance of a n iron wire 0.4 mm in diameter. Find: R2
  • 11. Diameter (Cross-sectional area) Given: R1=0.4Ω d1=0.8mm d2=0.4mm Solution: R1/R2=d22/d12 0.4Ω/R2=(0.4mm)2/(0.8mm)2 R2=(0.4Ω)(0.64mm)2/0.16mm2 R2=1.60Ω
  • 12. Temperature • The resistance of a metallic conductor increases as the temperature increases e.g. copper • The resistance of a semiconductor/insulator decreases as the temperature increases
  • 14. Kind of Material (Resistivity) • The material also affects the resistance of a conductor by a fixed amount for different materials. This is known as resistivity (). R = L  = constant of proportionality A
  • 15. Kind of Material (Resistivity) Resistors- conductors whose resistance is constant when the temperature is constant.
  • 16. Kind of Material (Resistivity) Material Resistivity (W m) Conductors Silver 1.60 x 10-8 Copper 1.62 x 10-8 Aluminium 2.63 x 10-8 Tungsten 5.20 x 10-8 Nickel 6.84 x 10-8 Iron 10.0 x 10-8 Chromium 12.9 x 10-8 Mercury 94.0 x 10-8 Manganese 1.84 x 10-6 Constantan (alloy of Cu Alloys 49 x 10-6 and Ni) Manganin (alloy of Cu, Mn 44 x 10-6 and Ni) Nichrome (alloy of Ni, Cr, 100 x 10-6 Mn and Fe) Insulators Glass 1010 - 1014 Hard rubber 1013 - 1016 Ebonite 1015 - 1017 Diamond 1012 - 1013 Paper (dry) 1012
  • 17. Kind of Material (Resistivity) Problem Given: Find: L=15 m R Diameter=0.085 cm = 1.6x10-8 Ωm T=20°C Solutions: Conversion: d= 0.085cm/100 cm x 1m d= (8.5x10-4m)
  • 18. Kind of Material (Resistivity) a.) r=1/2d r=8.5x10-4 m/2 r= 4.25x10-4 m b.) A=πr2 A=(3.14)(4.25x10-4 m)2 A=5.67x10-7
  • 19. Kind of Material (Resistivity) c.) R = L A R=(1.6x10-8Ωm)(15m) 5.67x10-7m2 R=0.4Ω
  • 20. Signing Off … By: RLUG THANK YOU! =))