Fundamentals of Engineering Electromagnetics 1st Edition by David Cheng

Exercise 35

The upper and lower conducting plates of a large parallel-plate capacitor are separated by a distance d and maintained at potentials V o and 0, respectively. A dielectric slab of dielectric constant 6.0 and uniform thickness 0.8 d is placed over the lower plate. Assuming negligible fringing effect, determine the following by solving Laplace's equation:
a) the potential and electric field distribution in the dielectric slab,
b) the potential and electric field distribution in the air space between the dielectric slab and the upper plate, and
c) the surface charge densities on the upper and lower plates.