For the cylinder in Problem 3.9 the cylindrical surface is made of two equal half-cylinders, one at

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For the cylinder in Problem 3.9 the cylindrical surface is made of two equal half-cylinders, one at potential V and the other at potential ? V, so that

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(a) Find the potential inside the cylinder.

(b) Assuming L >> b, consider the potential at z = L/2 as a function of ? and ? and compare it with two-dimensional Problem 2.13.

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