Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 34

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.