In: Electrical Engineering
There is a dielectric sphere with radius a [m] and relative
permittivity εr. This dielectric has a uniform charge density
ρ
[C / m3)
This dielectric sphere has an inner radius b [m] (a <b).
It shall be surrounded by a hollow grounded conductor. The center
of the dielectric sphere
Answer the following questions as if the centers are the
same.
(1) Find the electric flux density and electric field at each
location.
(2) Find the energy density stored in each place.
(3) Find the total energy stored inside the conductor.
(4) Find the force acting on the surface area of the
conductor.
This is the problem of two concentric spheres with Gaussian surface having uniform charge density.