Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 25

A d-c voltage V 0 is applied across a cylindrical capacitor of length L. The radii of the inner and outer conductors are a and b , respectively. The space between the conductors is filled with two different lossy dielectrics having, respectively, permittivity 1 and conductivity 1 in the region a r c, and permittivity 2 and conductivity 2 in the region c r. Determine
a) the current density in each region,
b) the surface charge densities on the inner and outer conductors and at the interface between the two dielectrics.