Question: 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 ?

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

(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.

for - a/2 < < T/2 for 7/2 < o < 3 m/2 V(d, z)

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