Question

Show that there can be no net charge in a region in which the electric field is uniform at all points.

Answer 1

Gauss Law states that Flux of Electric filed is equal to net charge enclosed in a region divided by ${ϵ}_o$. Now, since the electric field in a region is a constant$,$ which means that the integral of $E.ds$ is also a constant$,$

hence $q$ is equal to zero$.$