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Problem 4.15 A thick spherical shell (inner radius a, outer radius b) is made of
dielectric material with a "frozen-in" polarization
P(r) = i
where k is a constant and r is the distance from the center (Fig. 4.18). (There is
no free charge in the problem.) Find the electric field in all three regions by two
different methods:
AP b
P
P
(a) Sphere (b) Needle (c) Wafer
FIGURE 4.19
FIGURE 4.18

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