Two points B are at the same electric potential. Which statement below is TRUE?

Question

Two points B are at the same electric potential. Which statement below is TRUE? A) The amount of work needed to move a charge from one of these points to the other is F_E X d, where F_E is the Coulomb law force between charges and d is the distance between them B) The amount of work needed to move a charge from one of these points to the other is -E X d, where E is the electric field and d is the distance between the charges. C) The amount of work needed to move a charge from one of these points to the other is kq/r, where q is the charge on the particle, k is the electric constant, and r is the distance between charges. D) The potential difference between the charges is zero. E) None of the above

Explanation / Answer

By definition of potential, we know that if two points A, B are at same potential then we need no energy to move one charge from A to B (or B to A). So options A,B,C are incorrect. Option D is correct since equipotential means potential difference of those 2 points is zero.

So the answer is option D

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