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Electric Potential/Separation of Variables

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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 potential V0 (a constant).

(a) What is the potential within the pipe?

(b) Use a plotting program like Maple to plot the solution to zeroth order, first order, fifth order, and 100th order.

Use separation of variables of course.....my soln took about 4 pages but I cannot get the graph yet

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Here is my solution, including graphs it is 10 pages long. However, I'm bit confused about ...

Solution Summary

The electric potential and separation of variables are determined. The potential within the pipe is determined.