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A thick spherical shell of inner radius a and outer radius b is made of
dielectric material with a “frozen-in" polarization
P(r) = "î.
r
where k is a constant and r is the distance from the center, as shown in the figure below. (There is
no free charge in the problem.)
Find the electric field in all three regions: r <a, a <r <b, and r> b.
P

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