Electromagnetics
School of Electrical and Computer Engineering
University of Tehran
Homework 7
Fall Semester 1384
Due 84/9/30
Problem 1
In free space, the region
b
r
a
≤
≤
<
0
of the spherical coordinate system is filled by a
homogeneous linear isotropic dielectric of susceptibility
χ
. A point charge
q
is located at the
origin. Considering the symmetry of this configuration, guess the polarization vector and thus
determine this vector in the region
b
r
a
≤
≤
. (Verify your guess by examining the constitutive
relation and the boundary conditions.)
Problem 2
Consider a grounded conducting sphere the radius of which is
R
. Assume that the conducting
sphere is surrounded by a thin concentric spherical shell of electric charge. The radius of the shell
is
R
2
and its surface charge density is a constant of value
S
ρ
[
C/m
2
].
a)
Determine the electric field everywhere in the space.
b)
Evaluate the electric potential in the regions
R
r
R
2
<
<
and
r
R
<
2
.
c)
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 Spring '11
 Dolatabadi
 Electrostatics, Electromagnet, Electric charge, Fundamental physics concepts, Electromagnetics School of Electrical and Computer Engineering University of Tehran

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