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 V increments. (Figure 1) What is the work done by the electric force to move a 1 C charge from A to B? Express your answer in joules. What is the work done by the electric force to move a 1 C charge from A to D? Express your answer in joules. 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

Part A: since both points A and B are on the same equipotential , there is no change in electric potential and therefore no work needed to move the charge.

Part B: The difference between potential of point A and D is 1V . therefore 1 joule of work is needed to move 1C of charge from point A to D.

Part C: Point C lies between -1V and -2V equipotential and Point B is on 1V equipotential. the magnitude of electric field at point C is greater than the magnitude of electric field at point B.

so, option 1 is the answer.

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