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)

• Correct answer
  A

  $\frac{Q}{6 \varepsilon_{0}}$
• B

  $4 \pi Q$
• C

  $\frac{Q}{4 \pi \varepsilon_{0}}$
• D

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

Solution

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 $\phi_{z}=\frac{Q}{6 \varepsilon_{0}}$

Hence, the correct answer is option: 'A'.