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JEE Main 2018 (15 Apr, Shift 1) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from JEE Main 2018 (15 Apr, Shift 1)

Q107JEE Main 2018 · 15 APR · SHIFT 1Medium

Electric Flux & Gauss's Law

A charge $Q$ is placed at a distance $a/2$ above the center of the square surface of edge a as shown in the figure.

The electric flux through the square surface is

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Answer: (d)

Imagine a cube of side $a$ with $Q$ at its centre; the square is one face of that cube.
By symmetry each face gets $\frac{1}{6}$ of $\frac{Q}{\varepsilon_0}$ .
$\phi = \frac{Q}{6\varepsilon_0}$ , answer (d).

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