The drawing shows a set of equipotential surfaces seen in cross-sections. Each i

Question

The drawing shows a set of equipotential surfaces seen in cross-sections. Each is labeled according to its electric potential. A 3.1 x 10-7 C point charge is placed at position A. Find the work done on the point charge by the electric force when it is moved (a) from A to B, and (b) A to C.

The drawing shows a set of equipotential surfaces seen in cross-sections. Each is labeled according to its electric potential. A 3.1 x 10-7 C point charge is placed at position A. Find the work done on the point charge by the electric force when it is moved (a) from A to B, and (b) A to C.

Explanation / Answer

A is at +350V
B is at +550V

Change in potential (V) going from A to B is: ?V= 550-350 = +200V (i,e the potential has been raised by 200V).

By definition, the change in potential (?V) is the work done per unit positive charge AGAINST the electric field.

Work done against the field = q?V = 38x10?? x 200 = 7.60x10?

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