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  4. 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)

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Q. 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)

WBJEEWBJEE 2017Electric Charges and Fields

Solution:

The positive charge $Q$ is situated at the centre of a cube
image
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 $\phi_E = \frac{Q}{6\varepsilon_0}$