Question

A charge q is placed at the centre of the flat surface of a hemisphere of radius R. What is the flux through the curved surface of the hemisphere?

• A. $\frac{1}{2}\left(\frac{q}{{ϵ}_0}\right)$
• B. $\frac{q}{{ϵ}_0}$
• C. Zero
• D. $2\left(\frac{q}{{ϵ}_0}\right)$

Answer 1

The correct option is A $\frac{1}{2}\left(\frac{q}{{ϵ}_0}\right)$

Flux coming out of a point charge is $\frac{q}{{ϵ}_0}$. Half of this flux passes through the curved surface of the hemisphere. Hence, the flux through the curved surface of the hemisphere is $\frac{1}{2}\left(\frac{q}{{ϵ}_0}\right)$