Question

A charge $Q$ is placed at the centre of a closed cube, the flux emitting from any one face of the cube will be

• A. $\frac{Q}{6{\epsilon }_0}$
• B. $\frac{Q}{3{\epsilon }_0}$
• C. $\frac{Q}{{\epsilon }_0}$
• D. $\frac{Q}{4{\epsilon }_0}$

Answer 1

The correct option is A $\frac{Q}{6{\epsilon }_0}$

Flux through the cube, $\varphi =\frac{Q}{{\epsilon }_0}$
Since charge is placed at the centre, flux through all the six surfaces of the cube will be equal.

So, flux through any one surface, ${\varphi }^{\prime }=\frac{\varphi }{6}=\frac{Q}{6{\epsilon }_0}$.