Question

If electric field intensity in a region is zero, then electric potential at all the points in the region is ____.

Answer 1

Electric field$=-\nabla v$

$\Rightarrow E=-\frac{dv}{dr}$

When $E=0$

$\Rightarrow dv=0$

It means the potential is either zero or constant.

If electric field intensity in a region is zero, then the electric potential at all the points in the region is either zero or constant.