Anegative charge is moved from point a to point b along an equipotential surface. which of the following statements must be true for this case? a) the negative charge performs work in moving from point a to point b. b) work is required to move the negative charge from point a to point b. c) no work is required to move the negative charge from point a to point b. d) the work done on the charge depends on the distance between a and b. e) work is done in moving the negative charge from point a to point b.

C) No work is required to move the negative charge from point A to point B.

Explanation:

An equipotential surface is defined as a surface connecting all the points at the same potential.

Therefore, when a charge moves along an equipotential surface, it moves between points at same potential.

The work done when moving a charge is given by

where

q is the charge

is the potential difference between the initial and final point of motion of the charge

However, the charge in this problem moves along an equipotential surface: this means that the potential does not change, so

And so, the work done is also zero.