Question

An infinite nonconducting sheet has a surface charge density $\sigma =0.10\mu C/m^2$ on one side. How far apart are equipotential surfaces whose potentials differ by $50V$?

• A. $8.8mm$
• B. $8.8cm$
• C. $8.8m$
• D. $8.8\mu m$

Answer 1

The correct option is A $8.8mm$

$E=\frac{\sigma }{2{ϵ}_o}$

$V=El$

$⟹l=\frac{2V{ϵ}_o}{\sigma }$

$⟹l=\frac{2\times 50\times 8.85\times {10}^{-12}}{{10}^{-7}}$

$⟹l=8.85\times {10}^{-3}m$

$⟹l=8.85mm$

Answer-(A)