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. zero
B. `piR^(2)//E`
C. `2piR^(2)E`
D. None of the above

Answer

A

Explanation

Flux through surface A,

`phi_(A)=Exx piR^(2) and phi_(B)=-Exx piR^(2)`
Electric flux through the curved surface,
`C=int E.dS=int EdS cos 90^(@)=0`
`therefore" Total flux "=EpiR^(2)-EpiR^(2)+0=0`