A thick spherical shell (inner radius a, outer radius b) is made of dielectric m

Question

A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a ''frozen-in'' polarization P(r) = (k/r)er where k is a constant, r is the distance from the center, and er is the radial unit vector. There is no free charge in the problem. Find the electric field in all three regions by two different methods: a) Locate all the bound (volume and surface) charge, and use Gauss's Law to calculate the field the bound charge produces. b) Use equation 4.23 to find D and then find E using eqn 4.21. This method is much easier and faster!

Explanation / Answer

What are equations 4,23 to find D and 4,21 to find E. These are not mentioned here.

Is there any particular method except for Gauss's law which you require in the second method to find it?

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