Chapter 26, Problem 40EAP

An infinitely long cylinder of radius R has linear charge density

$\lambda$ . The potential on the surface of the cylinder is Vo, and

the electric field outside the cylinder is $E_r=\lambda /\text{2}\pi {\epsilon }_{o}r$ . Find the

potential relative to the surface at a point that is distance r from

the axis, assuming r >R.