Waves Practice Problem Set Worksheet Page 46
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ECHANICS
RACTICE
ROBLEM
ETS
second wire and is it going in the same direction or the opposite direction as the
first current? Answer: 8.33 A, same direction
9. An electron moving at right angles to a 0.10-T magnetic field experiences an
15
2
acceleration of 6.00 x 10
m/s
. Ignoring the effects of gravity, what is the
5
electron’s speed?
Answer: 3.42 x 10
m/s
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10. A particle with a charge of 6.40 x 10
C travels in a circular orbit with a radius
4.68 mm due to the force exerted on it by a magnetic field with magnitude of 1.65
T that is perpendicular to its orbit. What is the magnitude of the linear momentum
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(ρ) of the particle?
Answer: 4.94 x 10
kg•m/s
11. A deuteron, which is the nucleus of an isotope of hydrogen, has a mass of 3.34 x
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10
kg and a charge of +e. The deuteron travels in a circular path with a radius of
6.96 mm in a magnetic field with a magnitude of 2.50 T.
5
a. What is the speed of the deuteron?
Answer: 8.35 x 10
m/s
b. What time is required for it to make half of a revolution?
-8
Answer: 2.62 x 10
s
12. An ion with a mass of m and a charge of +2e leaves a velocity selector moving at
a speed of 400 km/s. It then moves in a half circle in a magnetic field of 60-mT
that is perpendicular to the plane of its motion. At the end of this trip it is
detected. If the radius of the circle is 13.9 cm, what is the mass of the ion?
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Answer: 6.67 x 10
m/s
The following problems are from Giancoli Chapter 20.
13. (G1) What is the force per meter on a wire carrying a 9.80-A current when
perpendicular to a 0.80 T magnetic field?
Answer: 7.8 N/m
a. What if the angle between the wire and field is 45.0°? Answer: 5.5 N/m
14. (G3) How much current is flowing in a wire 4.20 m long if the maximum force on
it is 0.900 N when placed in a uniform 0.0800-T field? Answer: 2.68 A
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15. (G9) Alpha particles of charge q = +2e and a mass m = 6.6 x 10
kg are emitted
7
from a radioactive source at a speed of 1.67 x 10
m/s. What magnetic field
strength would be required to bend these into a circular path of radius r = 0.25 m?
Answer: 1.3 T
16. (G13) A proton moves in a circular path perpendicular to a 1.15 T magnetic field.
The radius of its path is 8.40 mm. Calculate the energy of the proton.
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Answer: 7.16 x 10
J
17. (G19) Jumper cables used to start a stalled vehicle often carry a 15-A current.
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How strong is the magnetic field 15 cm away?
Answer: 2.0 x 10
T
Gamzon & Gregorian-Michaelsen
6/7/16
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