Question

In a region of space having a uniform electric field $E$, a hemispherical bowl of radius $r$ is placed. The electric flux $\varphi$ through the bowl is

• A. $2\pi RE$
• B. $4\pi R^{2}E$
• C. $2\pi R^{2}E$
• D. $\pi R^{2}E$

Answer 1

Answer: (C)

$2\pi R^{2}E$

$\varphi =E\left(ds\right)\cos \theta =E\left(2\pi r^2\right)\cos 0^o=2\pi r^{2}E$