The dashed lines in the diagram represent cross sections of equipotential surfac

Question

The dashed lines in the diagram represent cross sections of equipotential surfaces drawn in 1 Vincrements. (Figure 1)

Part A

What is the work WAB done by the electric force to move a 1 Ccharge from A to B?

Part B

What is the work WAD done by the electric force to move a 1 Ccharge from A to D?

Part C

The magnitude of the electric field at point C is

*greater than the magnitude of the electric field at point B. *less than the magnitude of the electric field at point B. *equal to the magnitude of the electric field at point B. *unknown because the value of the electric potential at point C is unknown.

Explanation / Answer

A) Work=change in V * Q
so W=0*1=0J

B)
W=1*1=1J

C)

greater than the magnitude of the electric field at point B

Since the diagram shows equal potential differences between adjacent surfaces, equal amounts of work are done to move a particular charge from one surface to the next adjacent one. It follows then that if the equipotentials are closer together, the electric force does the same amount of work in a smaller displacement than if the equipotentials were farther apart. Therefore, the electric force, as well as the corresponding electric field, has a larger magnitude than point B.

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