Question

A cylinder of radius $r$ and length $l$ is placed in a uniform electric field $E$ parallel to the axis of the cylinder. What is the total electric flux through the surface of the cylinder ?

• A. $2\,\pi\,r l E$
• B. $\pi\,r^2 F$
• C. $(2\,\pi\,r l + \pi\,r^2) E$
• D. Zero

Answer 1

Answer: (D)

Zero

Answer 2

Flux through surface $A$, $\phi_{ A }= E \times \pi R ^{2}$ $\phi_{ B }=- E \times \pi R ^{2}$ $\phi_{ B }=- E \times \pi R ^{2}$ Flux through curved surface, $C =\int E . d s$ $=\int E d s \cos 90^{\circ}=0$