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

Question:

A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a frozen-in polarization P(r)

A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a "frozen-in" polarization P(r) 0 r<a P(r) ksin(0)/r r a<r<b where k is a constant, r is the distance from the center, and r is the radial unit vector. There is no free charge in the problem 1. Find expressions for all the bound (volume and surface) charge. Interpret with a diagram. 2. Determine the total bound charge. Be aware if the bound charge densities depend on r, ф or you must integrate with respect to those variables to find the total charge enclosed 3. Use (where possible) the Displacement vector approach to find the electric field in the regions r<a, a<r<b, r>b. If not possible explain why

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