Q.4 A rectangular pipe, running parallel to the z-axis (from-∞ to +x), 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 Vo(y). (a) Develop a general formula for the potential inside the pipe. (b) Find the potential explicitly, for the case Vo(y) = Vo (a constant).

Q.4 A rectangular pipe, running parallel to the z-axis (from-∞ to +x), 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 Vo(y). (a) Develop a general formula for the potential inside the pipe. (b) Find the potential explicitly, for the case Vo(y) = Vo (a constant).