Fundamentals of Engineering Electromagnetics 1st Edition by David Cheng

Exercise 20

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 y in the region a and permittivity 2 and conductivity 2 in the region c r Determine
a) the equivalent R-C circuit between the inner and outer conductors, and
b) the current density in each region.
HINT: Use the results in Example 4-3(a).