Question: A variant of the preceding two-dimensional problem is a long hollow conducting cylinder of radius b that is divided into equal quarters, alternate segments being

A variant of the preceding two-dimensional problem is a long hollow conducting cylinder of radius b that is divided into equal quarters, alternate segments being held at potential + V and ? V.

(a) Solve by means of the series solution (2.71) and show that the potential inside the cylinder is

(b) Sum the series and show that

(?) Sketch the field lines and equipotentials.

4n+2 ) sin[(4n + 2)o] 2n + 1 4V (, ) TT n=0

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