At a given location in space, the potential is known to be greater when one moves in any direction. To be more specific, no matter which direction one goes, a small step in that direction results in an increase in the potential. This means that the electric field at this location is

Question

Quizplus · Accepted Answer

If the potential increases in every direction from a point, that point is at a local minimum of potential. The electric field, which points in the direction of greatest decrease of potential, is zero at a local minimum because there is no direction of decrease.

At a Given Location in Space, the Potential Is Known