Question

A positive charge $Q$ is situated at the centre of a cube. The electric flux through any face of the cube is (in $SI$ units)

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

Answer 1

Answer: (A)

The positive charge $Q$ is situated at the centre of a cube

According to Gauss theorem, the flux from any closed surface
${\varphi }_E=\frac{Q}{{\epsilon }_0}$
Cube has $6$ faces, so electric flux from any face ${\varphi }_E=\frac{Q}{6{\epsilon }_0}$