Electric field and potential: If the electric potential at a point in space is zero, then the electric field at that point must also be zero.

Question

Quizplus · Accepted Answer

The electric potential at a point is related to the electric field by the equation V = -∫E•dl, where V is the potential, E is the electric field, and dl is an infinitesimal displacement along a path in the direction of the electric field. If the potential is zero at a point, it simply means that there is no difference in potential between that point and a reference point (usually taken to be infinitely far away). This does not necessarily mean that the electric field is zero at that point, since the electric field can be non-zero even if the potential is constant.

Electric Field and Potential: If the Electric Potential at a Point