Grounded Metal Plates: Electricity, Magnetism and Waves

Two infinitely long, grounded metal plates , at y=0 and y = a, are connected at x = +/- b by metal strips maintained at constant potential, Vo (insulated at the corners). Find the potential inside the rectangular pipe.

Please show:

a) A sketch of the set up
b) The general form of V(x,y) before any boundary condition have been applied
c) The general series solution with all but one of the boundary conditions applied
d) The constants of the series evaluated to give a unique solution.

Note: Use separation of variables.

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