The z-axis runs down the center of an infinitely long heating duct with a square cross section.
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The z-axis runs down the center of an infinitely long heating duct with a square cross section. For a real metal duct (not a perfect conductor), the electrostatic potential φ(x, y) varies linearly along the side walls of the duct. Suppose that the duct corners at (±a, 0) are held at potential +V and the duct corners at (0,±a) are held at potential −V. Find the potential inside the duct beginning with the trial solution.
Transcribed Image Text:
p(x, y) = A + Bx + Cy+Dx² + Ey² + Fxy.
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