The electrostatic potential satisfies Laplace's equation

Chapter 12, Problem 12.9

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The electrostatic potential satisfies Laplace's equation 'V2 11 = 0 in any region free of charges. Also the heat equation lit = C2 ,211 (Sec. 12.5) reduces to Laplace's equation if the temperature u is tinIe-independent ("steady-state case"). Using (20), find the potential (equivalently: the steady-state temperature) in the disk r < I if the boundary values are (sketch them, to see what is going on).

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