PHY2061
R. D. Field
Solutions
Chapter 32
Page 1 of 5
Chapter 32 Solutions
Problem 1:
A charged particle,
Q = 0.5 C
, enters a region with a uniform magnetic field
z
y
x
B
°
4
°
3
°
2
+
+
=
r
(
in Tesla
).
If its velocity is given by
z
y
x
v
°
2
°
3
°
2
+
+
=
r
(
in m/s
), what is the magnitude of the magnetic force on the particle (
in N
)?
Answer:
3.6
Solution:
We know that the magnetic force on a particle is
)
°
4
°
6
(
4
3
2
2
3
2
°
°
°
y
x
Q
z
y
x
Q
B
v
Q
F
−
=
=
×
=
r
r
r
.
The
magnitude of the force
is
N
N
Q
F
6
.
3
52
)
5
.
0
(
16
36
=
=
+
=
.
Problem 2:
A charged particle,
Q=0.5 C
, and mass
M = 200 grams
enters a region with
a uniform magnetic field
y
x
B
°
1
°
2
−
=
r
(
in Tesla
).
What is the magnitude of
the magnetic force on the particle (
in N
), if its velocity is
y
x
v
°
2
°
4
−
=
r
(
in
m/s
)?
Answer:
zero
Solution:
We know that the magnetic force on a particle is
0
0
1
2
0
2
4
°
°
°
=
−
−
=
×
=
z
y
x
Q
B
v
Q
F
r
r
r
.
Note that
v
is in the same direction as
B
and hence the magnetic force is
zero.
Problem 3:
One end of a straight wire segment is located at (x,y,z) =
(0,0,0)
and the
other end is at
(1m,2m,3m)
.
A current of
2 Amps
flows through the
segment.
The segment sits in a uniform magnetic field
y
x
B
°
1
°
2
−
=
r
(
in
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PHY2061
R. D. Field
Solutions
Chapter 32
Page 2 of 5
Tesla
).
What is the magnitude of the magnetic force (
in N
) on the wire
segment?
Answer:
16.7
Solution:
We know that the magnetic force on a wire segment is
(
)
Tm
z
y
x
I
z
y
x
I
B
L
I
F
°
5
°
6
°
3
0
1
2
3
2
1
°
°
°
−
+
=
−
=
×
=
r
r
r
,
with the
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 Spring '08
 FRY
 Physics, Charge, Magnetic Force, Magnetic Field, Particle, R. D. Field

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