Chapter 3.2, Problem 3.10P

A uniform line charge $\lambda$ is placed on an infinite straight wire, a distance d above a grounded conducting plane. (Let’s say the wire runs parallel to thex-axis and directly above it, and the conducting plane is the xy plane.)
(a) Find the potential in the region above the plane. [Hint: Refer to Prob. 2.52.]
(b) Find the charge density $\sigma$ induced on the conducting plane.