A thin straight infinitely long conducting wire having charge density `lamda` is enclosed by a cylindrical surface of radius r and length l, its axis coinciding with the length of the wire.
Find an expression for the electric flux through the surface of the cylinder.

Explanation

A thin straight conducting wire will have a uniform linear charge distribution.
Let q charge be enclosed by the cylindrical surface.
`:.` Linear charge density,
`lamda=(q)/(l)rArrq=lamdal` . . . . (i)
By Gauss. theorem,
total electric flux through the surface of cylinder,
`phi=(q)/(epsilon_(0))`
`:." "phi(lamdal)/(epsilon_(0))" [from Eq. (i)]"`