A rectangular pipe, running parallel to the z-axis (from – ∞ to + ∞), has three grounded metal sides, at y = 0, y = a, and x = 0. The fourth side, at x = b, is maintained at a specified potential V0(y).

(a) Develop a general formula for the potential within the pipe.

(b) Find the potential explicitly, for the case V0(y) = V0 (a constant).