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  4. A charge Q is placed at a distance a/2 above the centre of the square surface of edge a as shown in the figure The electric flux through the square surface is :

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Q. A charge $Q$ is placed at a distance $a/2$ above the centre of the square surface of edge a as shown in the figure
The electric flux through the square surface is :Physics Question Image

AMUAMU 2016Electric Charges and Fields

Solution:

In the figure given in question, we can draw a cube enclosing charge $Q$ at the centre, then according to gauss law, we have
flux $\phi=\frac{Q_{\text {aclosed }}}{\varepsilon_{0}}$
$\Rightarrow $ Electric flux through six surfaces of cube $=\frac{Q}{\varepsilon_{0}}$
Therefore, electric flux through one surface $=\frac{Q}{6 \varepsilon_{0}}$.

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