Question

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

• A. q/4$ϵ$
• B. q/6$ϵ$
• C. q/2$ϵ$
• D. q/8$ϵ$

Answer 1

The correct option is B q/6$ϵ$

Contruct a cube of side length $a$ with one of the faces as the plate. The flux through the cude is $\frac{q}{ϵ}$. The cube has 6 faces, so the flux per each face is $\frac{q}{6ϵ}$.