Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 14

Two conducting spheres of radii b 1 and b 2 that have a very high conductivity are immersed in a poorly conducting medium (for example, they are buried very deep in the ground) of conductivity and permittivity . The distance, d, between the spheres is very large in comparison with the radii. Determine the resistance between the conducting spheres. (Hint: Find the capacitance between the spheres by following the procedure in Section 3-10 and using Eq. (5-81).)