Question

A charge is placed at the centre of a cube. The electric flux through one face of the cube is :

• A. $\frac{Q}{4{\epsilon }_0}$
• B. $\frac{Q}{6{\epsilon }_0}$
• C. $\frac{Q}{{\epsilon }_0}$
• D. $Zero$

Answer 1

Answer: (B)

$\frac{Q}{6{\epsilon }_0}$

As the charge at the center of the cube, the flux through each surface is same. Using Gauss's law, $6\varphi =\frac{Q}{{ϵ}_0}\Rightarrow \varphi =\frac{Q}{6{ϵ}_0}$