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Lectures in General Physics

5.3 Electric Potential and Electric Field

Simple Case (Uniform electric field):

The potential difference between two points A and B in a Uniform electric

field E can be found as follow,

Assume that a positive test charge q o is moved by an external agent from A

to B in uniform electric field as shown in figure 5.4.

The test charge q o is affected by electric

force of q o E in the downward direction. To

B

move the charge from A to B an external

force F of the same magnitude to the

electric force but in the opposite direction.

The work W done by the external agent is:

F

W AB = Fd = q o Ed (5.2)

Dd

Ddl

Oq o

Oq o

E

The potential difference V B -V A is

V

WAB

− VA

= Ed (5.3)

q

B =

o

A

Figure 5.4

E

This equation shows the relation between the potential difference and the

electric field for a special case (uniform electric field). Note that E has a

new unit (V/m). hence,

Volt

Meter

=

Newton

Coulomb

Dr. Hazem Falah Sakeek

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