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