Question

An electrodynamics question.

Due is tomorrow noon. I have no idea where to start.

1. A long conducting pipe has a rectangular cross section with sides of lengths a and b. One face of the pipe is maintained at a constant potential V = V_0 while the other 3 faces are grounded (V = 0). Using separation of variables, find the potential for points inside the pipe V (x,y).

I solved this question using boundary conditions, Fourier sine series, and separation of the variables. The answer is V(x, y) = [4bV_0{Sinh(n*pi*x/b)Sin(n*pi*y/b)}]/{aSinh(n*pi*a/b)}

Answer 1