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 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

a)

here the points A and B are on the same equipotential there is no change in electric potential and therefore no work need to move the charge

work done = 0 J

b)

There is a 1V difference between the two equipotentials, therefore there is 1 J of work done to move the charge

workdone = 1 J

c)

Point C lies between the -1V and -2V equipotentials. Since B is on the 1V equipotential, the magnitude of the electric field at point C must be greater

the correct answer is 1st ( greater than the magitude of the electric field at point B)

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