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Consider an infinitely long, hollow duct with a square cross section, see Figure
below. The sides of the duct have length a. Two opposite sides, at a = 0 and a = a
are kept at constant potential V1, the side at y = a is kept at constant potential Vo,
and the side at y = 0 is kept at V = 0. Find the potential inside the duct.
a
a

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