A cylinder of radius R and length l is placed in a uniform electric field E parallel to the axis of the cylinder. The total flux over the curved surface of the cylinder is

Options

A. `(piR^(2))/(E)`
B. `(piR^(2)+piR^(2))/(E)`
C. zero
D. `2piR^(2)E`

Answer

C

Explanation

The field `vecE` is parallel to the axis of the cylinder i.e., E is perpendicular to the curved surface area and `theta=90^(@)`

`therefore`Flux through the curved surface is
`phi=vecE*dvecs=Edscos90^(@)=0`
Similarly, the flux entering the cylinder from left and =flux leving the cylinder from right end
`therefore`toal electric flux for the surface the cylinder is zero.