Question

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

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

Answer 1

Answer: (C)

$\phi= E ( ds ) \cos \theta= E \left(2 \pi r ^2\right) \cos 0^{\circ}=2 \pi r ^2 E$.