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

Answer

D

Explanation

Flux through left surface

`phi_L=-E xx pi R^2`
`[ Cos theta =-1] implies theta = 180^@`
`phi_R = E xx pi r^2 [ cos theta =1 implies theta = 0^@]`
Flux through curved surface C
`ointvecE.vecS=ES cos theta =0 [ theta=90^@]`
Total flux `phi_L+phi_R+phi_C=0`