The metal rod (shown below) moves to the right on essentially zero-resistance and zerofriction rails at a speed v = 3.0 m/s. The magnetic field B = 0.75T everywhere in the region. a. What is the current through the 5.0-Ω resistor?  b. Does the current circulate clockwise or counterclockwise? c. What is the rate at which the resistor produces heat (i.e., the power dissipated by the resistor)?

University Physics Volume 2
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 42P: Evaluate BdI for each of the cases shown in the accompanying figure.
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The metal rod (shown below) moves to the right on essentially zero-resistance and zerofriction rails at a speed v = 3.0 m/s. The magnetic field B = 0.75T everywhere in the region.
a. What is the current through the 5.0-Ω resistor? 
b. Does the current circulate clockwise or counterclockwise?
c. What is the rate at which the resistor produces heat (i.e., the power dissipated by
the resistor)?
d. The rod moves 3.0 m/s to the right because an external agent is exerting a constant
force on it to the right. What is the magnitude of this force? 
e. Use your answer to part (d) to find the rate at which the external agent does work
on the rod.
f. Discuss the significance of your results for parts (c) and (e).

B
100
5.0 Ω
.
v
4.0 cm
Transcribed Image Text:B 100 5.0 Ω . v 4.0 cm
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d. The rod moves 3.0 m/s to the right because an external agent is exerting a constant
force on it to the right. What is the magnitude of this force? 
e. Use your answer to part (d) to find the rate at which the external agent does work
on the rod.
f. Discuss the significance of your results for parts (c) and (e)

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