Question

A charge is placed at the edge of a cube of each side ${}^{\prime }{a}^{\prime }.$ Calculate the electric flux through each face of the cube$.$

• A. $\frac{Q}{4e_0}$
• B. $\frac{Q}{24e_0}$
• C. $\frac{Q}{2e_0}$
• D. $\frac{Q}{15e_0}$

Answer 1

The correct option is B $\frac{Q}{24e_0}$

Charge placed at edge will be shared by $4$ cubes$.$

So$,$ if we arrange $4$ cubes charge will be at centre

hence uniform closing surface so according to gauss law total flux$=\frac{Q}{e_0}$

So$,$ flux through each cube $\frac{Q}{4e_0}$ flux through each face $=\frac{Q}{24e_0}$

Hence,

option $\left(B\right)$ is correct answer.