# If electric field in a point is zero, is it possible that the potential of the point is also zero?

Mar 24, 2017

Yes. That's very much possible.

#### Explanation:

The electric field can be expressed as the negative of the gradient of a potential function ,

$\vec{E} = - \nabla V$

Where $V$ is the potential function.

A zero electric field at some point implies,

$\nabla V = 0 \implies V = C o n s t .$

Well, the potential is a constant which may be zero or non zero.