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

Options

A. ` 2 pi R^(2) E`
B. `pi R^(2) //E`
C. `(pi R^(2) // pi R)//E`
D. Zero

Answer

D

Explanation

Flux through surface ` a phi _(A) = E xx pi R^(2)`
and `phi _(B) = - E xx pi R^(2)`
Flux through curved surface C
` = int vec(E) . vec(ds) = int E ds cos 90^(@) = 0`
`:.` Total flux through cylinder ` = phi_(A) + phi_(B) + phi_(C) = 0`