Question

A charge $Q$ is placed at the centre of a cube. The flux through the six surface of the cube is :

• A. $\frac{Q}{{\epsilon }_0}$
• B. $\frac{6Q}{{\epsilon }_0}$
• C. $\frac{Q}{6{\epsilon }_0}$
• D. $\frac{Q}{3{\epsilon }_0}$

Answer 1

The correct option is A $\frac{Q}{{\epsilon }_0}$

According to Gauss's law, the electric flux, $\varphi =\frac{Q_{enclosed}}{{ϵ}_0}$

Here the charge enclosed inside the cube is $Q_{enclosed}=Q$

thus, $\varphi =\frac{Q}{{ϵ}_0}$