**Question:**

Starting with the series solution (2.71) for the two-dimensional potential problem with the potential specified on the surface of a cylinder of radius b, evaluate the coefficients formally, substitute them into the series, and sum it to obtain the potential inside the cylinder in the form of Poisson’s integral: Phi(rho, phi) = 1/2 pi integral_0^2 pi Phi(b, phi’)b^2 – rho^2/b^2 + rho^2 – 2b rho cos(phi’ – phi)d phi’ What modification is necessary if the potential is desired in the region of space bounded by the cylinder and infinity?

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