If a hemispherical body is placed in a uniform electric field E then the flux linked with the curved surface is

Given Data: A hemispherical body is placed in a uniform electric field.

Formula Used: $\Phi =EA$

Detailed Solution:

The created diagram depicts the given system.

So, flux entering the hemisphere is equal to flux leaving it i.e ${\varphi }_{\text{in }}={\varphi }_{\text{out }}$

We know, ${\varphi }_{\text{in }}=\pi {\mathrm{R}}^2\mathrm{E}$ where, $\pi {\mathrm{R}}^2$ is the area of the ground circle from the flux enters the hemisphere.

Thus, ${\varphi }_{\text{out }}=\pi R^{2}E$