Question: Using (7), find the potential (r, ) in the unit disk r < 1 having the given boundary values (1, ). Using the sum of

Using (7), find the potential Φ(r, θ) in the unit disk r < 1 having the given boundary values Φ(1, θ). Using the sum of the first few terms of the series, compute some values of Φ and sketch a figure of the equipotential lines.

Φ(1, θ) = θ if -1/2π < θ < 1/2π and 0 otherwise

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Using 7 the potential in the unit disk is given by r 1r n1 1n r2n 2n1 cos2n1 For n 1 the po... View full answer

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