A line charge of infinite length lies along the z axis and carries a uniform linear charge density of ρ_„“C/m. A perfectly conducting cylindrical shell, whose axis is the z axis, surrounds the line charge. The cylinder (of radius b), is at ground potential. Under these conditions, the potential function inside the cylinder (ρ < b) is given by

where k is a constant.

(a) Find k in terms of given or known parameters.

(b) Find the electric field strength, E, for ρ < b.

(c) Find the electric field strength, E, for ρ > b.

(d) Find the stored energy in the electric field per unit length in the z direction within the volume defined by ρ > a, where a < b.

Transcribed Image Text:

V ρ)-k- In(p) ν(ρ)k-P 2πεο pε