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A spherical dielectric shell has inner radius r1, outer radius r2, and dielectric constant k. A...

A spherical dielectric shell has inner radius r1, outer radius r2, and dielectric constant k. A charge Q is placed at the center of the sphere.

(a) Determine the polarization P in the dielectric shell.

(b) Find the bound volume charge density, ρb, inside the dielectric shell.

(c) Find the bound surface charge density, σb, at r = r1 and r = r2.

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