Let b be the perpendicular distance between an infinite line with uniform charge per unit length and the center of an infinite conducting cylinder

Let b be the perpendicular distance between an infinite line with uniform charge per unit length λ and the center of an infinite conducting cylinder with radius R = b/2.

(a) Show that the charge density induced on the surface of the cylinder is

(b) Find the force per unit length on the cylinder by an appropriate integration over σ(φ).

(c) Confirm your answer to (b) by computing the force per unit length on the cylinder by another method.

R -b-