A cylinder of length L and radius b has its axis coincident with x-axis. The electric field in this region is `vecE = 200hati`. Find the flux through the left end of the cylinder.

Explanation

From figure, then

a. `phi_(a)=vecE.vecA=EAcos theta`
`=200xx pib^(2)xxcos pi=-200pib^(2)`
b. `phi_(b)=EA cos 0^(@)=200pib^(2)`
(c) `phi_(c)=EA cos 90^(@)=0`
(d) `phi=phi_(a)+phi_(b)+phi_(c)=-200k pib^(2)+200pib^(2)+0=0`