Chapter 18, PROBLEM SET 18.5 #6

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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) = 5 - cos 2θ

PROBLEM SET 18.2:

PROBLEM SET 18.3:

PROBLEM SET 18.4:

PROBLEM SET 18.5:

PROBLEM SET 18.6: