Question

A dipole is placed in a shell as shown. Find the electric flux emerging out of the shell and in a hypothetical sphere of radius r as shown.

• A. $\frac{2q}{{\epsilon }_0},0$
• B. $\frac{q}{{\epsilon }_0},\frac{-q}{{\epsilon }_0}$
• C. $\frac{-q}{{\epsilon }_0},\frac{q}{{\epsilon }_0}$
• D. $0,0$

Answer 1

The correct option is D $0,0$

According to the Gauss's law the electric flux through closed surface is $\varphi =\frac{Q_{enclosed}}{{ϵ}_0}$ where $Q_{enclosed}$ is the charge inside the closed surface.

Here in both cases, $Q_{enclosed}=+q-q=0$

So the electric flux emerging out of the shell and in a hypothetical sphere of radius r are $(0,0)$