Two flat conductor plates (infinite in the x- and y-directions) occupy the planes z = d. The

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Two flat conductor plates (infinite in the x- and y-directions) occupy the planes z = ±d. The x > 0 portion of both plates is held at φ = +φ0. The x < 0 portion of both plates is held at φ = −φ0. Derive an expression for the potential between the plates using a Fourier integral to represent the x variation of φ(x, z).

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