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
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 FRY
 Physics, Charge, Electric charge, R. D. Field

Click to edit the document details