Question

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

• A.
• B.
• C.
• D. Zero

Answer 1

The correct option is D Zero

Flux through surface $A{\varphi }_A=E\times \pi R^2$ and ${\varphi }_B=-E\times \pi R^2$

Flux through curved surface $C=\int E.ds=\int Edscos{90}^{\circ }=0$
$\therefore$ Total flux through cylinder $={\varphi }_A+{\varphi }_B+{\varphi }_c=0$