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R. D. Field
Problems
Chapter 27
Page 1 of 4
Chapter 27 Problems
Problem 1:
Consider a spherical conducting shell
S
1
of radius
R
on which charge
+Q
is placed.
Without touching
or disturbing it, this shell is now surrounded
concentrically by a similar shell
S
2
of radius
2R
on
which charge
Q
is placed (see Figure).
What is the
magnitude of the electric field in the region
between the two shells (
R <r < 2R
)?
Problem 2:
In the previous problem, what is the electric field inside shell
S
1
(r < R)?
Problem 3:
A solid insulating sphere of radius
R
has charge distributed uniformly
throughout its volume.
What fraction of the sphere&s total charge is located
within the region
r < R/2
?
Problem 4:
A solid insulating sphere of radius
R
has a
nonuniform
volume charge
distribution given by
ρ
(r) = ar
, where
a
is a constant.
What is the total
charge
Q
of the insulating sphere?
Problem 5:
In a certain region of space within a distribution of charge the electric field
is given by
r
ar
r
E
±
)
(
=
r
.
It points radially away from the origin and has a
magnitude
E(r) = ar
, where
a = 150N/(Cm)
.
How much electric charge (
in
nanoC
) is located inside a shell with an inner radius of
0.5 meters
and an
outer radius of
1.0 meters
?
R
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 Spring '08
 FRY
 Physics, Charge

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