(a) Locate all the bound charge, and use Gauss's law (Eq. 2.13) to calculate the field it produces. (b) Use Eq. 4.23 to find D, and then get E from Eq. 4.21. [Notice that the second method is much faster, and it avoids any explicit reference to the bound charges.]
(a) Locate all the bound charge, and use Gauss's law (Eq. 2.13) to calculate the field it produces. (b) Use Eq. 4.23 to find D, and then get E from Eq. 4.21. [Notice that the second method is much faster, and it avoids any explicit reference to the bound charges.]
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Transcribed Image Text:Problem 4.15 A thick spherical shell (inner radius a, outer radius b) is made of
dielectric material with a "frozen-in" polarization
P
АР
a
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:
FIGURE 4.18
P(r) =
=
P
k
r
f.
(a) Sphere (b) Needle
(c) Wafer
FIGURE 4.19
![(a) Locate all the bound charge, and use Gauss's law (Eq. 2.13) to calculate the
field it produces.
(b) Use Eq. 4.23 to find D, and then get E from Eq. 4.21. [Notice that the second
method is much faster, and it avoids any explicit reference to the bound charges.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a11ce3d-21c0-472b-9212-b4fe5760ed67%2Fe5197c9a-6c23-4cf7-b0a2-8a05a1422197%2Flmlkydf_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Locate all the bound charge, and use Gauss's law (Eq. 2.13) to calculate the
field it produces.
(b) Use Eq. 4.23 to find D, and then get E from Eq. 4.21. [Notice that the second
method is much faster, and it avoids any explicit reference to the bound charges.]
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