Question

A point charge q is placed at a distance $\frac{a}{2}$ directly above the centre of a square of side a. The electric flux through the square is

• A. $\frac{q}{{ϵ}_0}$
• B. $\frac{q}{\pi {ϵ}_0}$
• C. $\frac{q}{4{ϵ}_0}$
• D. $\frac{q}{6{ϵ}_0}$

Answer 1

The correct option is D $\frac{q}{6{ϵ}_0}$

An imaginary cube can be made by considering charge q at the centre and given square is one of it's face.

So flux from given square (i.e. one face) $\varphi =\frac{q}{6{ϵ}_0}$