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W. Sautter 2015
Electrostatics is the study of the effects of stationary
charges on each other in their surroundings.
Charges are created by the transfer of electrons to or from
one body to another. (Protons are NEVER transferred.)
Objects with equal numbers of protons and
electrons are neutral. They have no net charge.
Objects with more electrons than
protons are charged negatively
Objects with less electrons than
protons are charged positively. 2
- +
+ +
- +
--
++
- -Likes
repel
Likes
repel
Unlikes
attract
Unlikes
attract
3
6.25 x 10 18electrons
1 coulomb
Charge on 1 electron = - 1.6 x 10 –19 coulombs
Charge on 1 proton = + 1.6 x 10 –19 coulombs
4
Fg = gravity force between
m1 and m2 separated by
a distance r
G is the Universal
Gravitational Constant
The weight of an object
is its mass times g’, the
gravity value at location r
5
Fe = electrostatic force
Between m1 and m2
separated by a distance r
k is Coulomb’s
Constant
Coulomb’s Law is an inverse square law
similar to the Law of Gravitation
It is dissimilar in that electrostatic forces can be attraction or
repulsion. Gravity is attraction only.
Electrostatic force is strong, gravity is very weak. 6
7
Gravity is classified as a weak force because huge
amounts of mass are required to create a reasonably
large force.
Note the very small value of the force constant.
Electric forces is classified as a strong force because
small charge quantities can to create large forces.
Note the very large value of the force constant
8
9
Electric charges are detected by the presence of an electric field (E).
Recall that a gravity field can be detected by its influence
(attractive force) on a mass (often called a test mass).
Electric fields are detected by their influence (attractive or
repulsive forces) on a charge (often called a test charge).
Electrically charged bodies can be created by physically rubbing
electrons off one object on to another. For example, rubbing a
rubber rod with fur will transfer electrons from the fur to the rod
which becomes negatively charged (it has extra electrons).
Rubbing a glass rod with silk will transfer electrons from the rod to
the silk. The rod is charged positively (it has missing electrons).
10
- - -
- - -
-
-
-
Charged rod
Leaves of electroscope
Diverge (like charges repel)
An Electroscope is an
instrument used to measure
the presence of an Electric field
(presence of charged bodies).
Moveable
leaves
11
-
- -
--
-
-
-
NEUTRAL
OBJECT
-
- -
--
-
-
-
CHARGING BY
CONDUCTION
WHEN OBJECT IS TOUCHED
BY THE CHARGED ROD
ELECTRONS MOVE FROM
THE ROD TO THE SPHERE
UNTIL ELECTROSTATIC
EQUILIBRIUM IS REACHED
OBJECT
IS NOW
NEGATIVELY
CHARGED
-
-
-
-
- -
12
INDUCTIVE CHARGING
CHARGED RUBBER ROD
(EXCESS ELECTRONS)
Electrons on sphere move
to the opposite side due to
repulsion of electrons on
the charged rod
13
Electric Field
E is always out of plus (+) into minus (-)
Charged Plates
14
Recall that a gravity field (g) is measured by dividing the force
acting on it (its weight(w) in Newtons ) by the mass quantity (m)
in kilograms
An electric field (E) is measured by dividing the force
acting on it (in Newtons ) by the charge quantity (q) in
coulombs (C ).
g in N / Kg
E in N / C
15
+
-
-
-
-
+
-
-
-
-
E
E
Scale
Scale
As Electric
field strength
increases, the
Force on a test
Charge increases.
This is similar to
the weight of a
Mass increasing
in a stronger
Gravity field
Test charge
Test charge
16
Electric Field
Charged Plates
+ Force
E = Force (N) / Charge (Coul) 17
+
Lines of Flux spread
over a greater area
as distance from
charge increases and
field strength
weakensE = k q / r2
18
(1) E = F/q (by definition)
(2) F = kq1 q2 / r2 (Coulomb’s Law)
(3) E = kq1 q2 / r2 q2 ( by substitution)
E = kq / r2
q = point charge in coulombs
k = coulomb’s constant
r= distance from charge in
meters
E = electric field strength
at that point (N / C)
19
Electrical Potential is defined as the work required to move a
charge over a distance in an electric field.
Electrical potential is measured in volts.
One volt equals one joule (work) divided by charge (coulombs)
In a uniform electric field (a field between two parallel charged
metal plates) , potential (V) equals work (W) divided by charge (q).
Therefore, since work equal force times distance and force equals
the electric field strength (N/C) times charge in coulombs (C) ,
potential equals electric field times distance the charge moves.
V = W / q = (F x d) / q = (F / q) x d = E x d
V (volts) = E ( N/C) x d (m) 20
21
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Electrostatics

  • 2. Electrostatics is the study of the effects of stationary charges on each other in their surroundings. Charges are created by the transfer of electrons to or from one body to another. (Protons are NEVER transferred.) Objects with equal numbers of protons and electrons are neutral. They have no net charge. Objects with more electrons than protons are charged negatively Objects with less electrons than protons are charged positively. 2
  • 3. - + + + - + -- ++ - -Likes repel Likes repel Unlikes attract Unlikes attract 3
  • 4. 6.25 x 10 18electrons 1 coulomb Charge on 1 electron = - 1.6 x 10 –19 coulombs Charge on 1 proton = + 1.6 x 10 –19 coulombs 4
  • 5. Fg = gravity force between m1 and m2 separated by a distance r G is the Universal Gravitational Constant The weight of an object is its mass times g’, the gravity value at location r 5
  • 6. Fe = electrostatic force Between m1 and m2 separated by a distance r k is Coulomb’s Constant Coulomb’s Law is an inverse square law similar to the Law of Gravitation It is dissimilar in that electrostatic forces can be attraction or repulsion. Gravity is attraction only. Electrostatic force is strong, gravity is very weak. 6
  • 7. 7
  • 8. Gravity is classified as a weak force because huge amounts of mass are required to create a reasonably large force. Note the very small value of the force constant. Electric forces is classified as a strong force because small charge quantities can to create large forces. Note the very large value of the force constant 8
  • 9. 9
  • 10. Electric charges are detected by the presence of an electric field (E). Recall that a gravity field can be detected by its influence (attractive force) on a mass (often called a test mass). Electric fields are detected by their influence (attractive or repulsive forces) on a charge (often called a test charge). Electrically charged bodies can be created by physically rubbing electrons off one object on to another. For example, rubbing a rubber rod with fur will transfer electrons from the fur to the rod which becomes negatively charged (it has extra electrons). Rubbing a glass rod with silk will transfer electrons from the rod to the silk. The rod is charged positively (it has missing electrons). 10
  • 11. - - - - - - - - - Charged rod Leaves of electroscope Diverge (like charges repel) An Electroscope is an instrument used to measure the presence of an Electric field (presence of charged bodies). Moveable leaves 11
  • 12. - - - -- - - - NEUTRAL OBJECT - - - -- - - - CHARGING BY CONDUCTION WHEN OBJECT IS TOUCHED BY THE CHARGED ROD ELECTRONS MOVE FROM THE ROD TO THE SPHERE UNTIL ELECTROSTATIC EQUILIBRIUM IS REACHED OBJECT IS NOW NEGATIVELY CHARGED - - - - - - 12
  • 13. INDUCTIVE CHARGING CHARGED RUBBER ROD (EXCESS ELECTRONS) Electrons on sphere move to the opposite side due to repulsion of electrons on the charged rod 13
  • 14. Electric Field E is always out of plus (+) into minus (-) Charged Plates 14
  • 15. Recall that a gravity field (g) is measured by dividing the force acting on it (its weight(w) in Newtons ) by the mass quantity (m) in kilograms An electric field (E) is measured by dividing the force acting on it (in Newtons ) by the charge quantity (q) in coulombs (C ). g in N / Kg E in N / C 15
  • 16. + - - - - + - - - - E E Scale Scale As Electric field strength increases, the Force on a test Charge increases. This is similar to the weight of a Mass increasing in a stronger Gravity field Test charge Test charge 16
  • 17. Electric Field Charged Plates + Force E = Force (N) / Charge (Coul) 17
  • 18. + Lines of Flux spread over a greater area as distance from charge increases and field strength weakensE = k q / r2 18
  • 19. (1) E = F/q (by definition) (2) F = kq1 q2 / r2 (Coulomb’s Law) (3) E = kq1 q2 / r2 q2 ( by substitution) E = kq / r2 q = point charge in coulombs k = coulomb’s constant r= distance from charge in meters E = electric field strength at that point (N / C) 19
  • 20. Electrical Potential is defined as the work required to move a charge over a distance in an electric field. Electrical potential is measured in volts. One volt equals one joule (work) divided by charge (coulombs) In a uniform electric field (a field between two parallel charged metal plates) , potential (V) equals work (W) divided by charge (q). Therefore, since work equal force times distance and force equals the electric field strength (N/C) times charge in coulombs (C) , potential equals electric field times distance the charge moves. V = W / q = (F x d) / q = (F / q) x d = E x d V (volts) = E ( N/C) x d (m) 20