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. $\frac{Q}{6\varepsilon_{0}}$
• B. $4\pi Q$
• C. $\frac{Q}{4\pi\varepsilon_{0}}$
• D. $\frac{Q}{6\pi\varepsilon_{0}}$

Answer 1

Answer: (A)

$\frac{Q}{6\varepsilon_{0}}$

Answer 2

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

According to Gauss theorem, the flux from any closed surface
$\phi_E = \frac{Q}{\varepsilon_0}$
Cube has $6$ faces, so electric flux from any face $\phi_E = \frac{Q}{6\varepsilon_0}$