
Concept explainers
Net work done, and force exerted in moving a test charge from one point to the other if points are at the same potential?

Answer to Problem 1Q
Solution:
Net work done = 0
Force exerted may or may not be zero.
Explanation of Solution
We have potential difference between two points, , where is the net work done and q is the charge. Here , so we will get net work done . So net work done in moving a charge from one point to other if the points are at the same potential is zero.
If the charge is taken to a higher potential first and then to the earlier potential, in first step there will be a negative work and in second step there is a positive work. But the net work done is zero.
Force exerted on a charge when it is taken along an equipotential line is zero. But when there is negative work and positive work there will be a force exerted.
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Physics: Principles with Applications
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