Question

A charge $q$ is enclosed in a cube. What is the electric flux associated with one of the faces of cube ?

• A. $q/{\epsilon }_0$
• B. $\epsilon /q$
• C. $6q/{\epsilon }_0$
• D. $q/6{\epsilon }_0$

Answer 1

The correct option is D $q/6{\epsilon }_0$

According to Gauss theorem - the total electric flux
$\varphi =\frac{1}{{\epsilon }_0}\times totalenclosedcharge=\frac{1}{{\epsilon }_0}\times q.$

Since cube has six faces. Hence electric flux linked with each face =$=(1/6\times \varphi )=q/6{\epsilon }_0$