A charge Q is placed at a distance a 2 above the centre of a square surface of side length a . The electric…

A charge $Q$ is placed at a distance $\raisebox{1ex}{$a$}\!\left/ \!\raisebox{-1ex}{$2$}\right.$ above the centre of a square surface of side length $a$. The electric flux through the square surface due to the charge would be?

1. $\frac{Q}{{6ϵ}_0}$
2. $\frac{Q}{{2ϵ}_0}$
3. $\frac{Q}{{3ϵ}_0}$
4. $\frac{Q}{{ϵ}_0}$

Solution

Charged particle can be considered at centre of a cube of side $a$, and given surface represents its one face. So, flux $\varphi =\frac{Q}{{6ϵ}_0}$.

Asked in: JEE Main 2018 (15 Apr)

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