Field and Wave Electromagnetics 2nd Edition by David Cheng

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Assume that the space between the inner and outer conductors of long coaxial cylindrical structure is filled with an electron cloud having volume density of charge v = A/r for a where a and b are, the radii of the inner and outer conductors, respectively. The inner conductor is maintained at a potential V o , and the outer conductor is grounded Determine the potential distribution in the region a by solving Poisson's equation.