Question

An infinite sheet of charge has a surface charge density of sigma. The separation between two equipotential

Answer 1

your question is incomplete. A complete question is ----> An infinite conducting sheet has surface charge density sigma. The distance between two equipotential surfaces is r. The potential difference between these two surfaces is ?

solution : electric field due to infinite sheet of charge has surface charge density is $\sigma$ , E = $\frac{\sigma}{\epsilon_0}$

and the separation between two equipotential surface is r.

we know,

potential difference between two surface = electric field × separation between them

= Er

= $\frac{\sigma r}{\epsilon_0}$