2. A metal bar with length L, mass m, and resistance R is placed on frictionless metal rails that are inclined at an angle ø above the horizontal. The rails have negligible resistance. A uniform magnetic field of magnitude B is directed downward as shown in the figure. The bar is released from rest and slides down the B b rails. a. Is the direction of the current induced in the bar from a to b or from b to a? Make sure to explain your answer. b. What is the terminal speed of the bar? c. What is the induced current in the bar when the terminal speed has been reached? d. After the terminal speed has been reached, at what rate is electrical energy being converted to thermal energy in the resistance of the bar? e. After the terminal speed has been reached, at what rate is work being done on the bar by gravity? How does this answer compare to your answer in part (d)?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter28: Magnetic Fields
Section: Chapter Questions
Problem 16P
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2. A metal bar with length L, mass m, and
resistance R is placed on frictionless metal rails
that are inclined at an angle ø above the
horizontal. The rails have negligible resistance.
A uniform magnetic field of magnitude B is
directed downward as shown in the figure. The
bar is released from rest and slides down the
rails.
a. Is the direction of the current induced in the
bar from a to b or from b to a? Make sure to explain your answer.
b. What is the terminal speed of the bar?
c. What is the induced current in the bar when the terminal speed has been reached?
d. After the terminal speed has been reached, at what rate is electrical energy being
converted to thermal energy in the resistance of the bar?
e. After the terminal speed has been reached, at what rate is work being done on the bar by
gravity? How does this answer compare to your answer in part (d)?
Transcribed Image Text:2. A metal bar with length L, mass m, and resistance R is placed on frictionless metal rails that are inclined at an angle ø above the horizontal. The rails have negligible resistance. A uniform magnetic field of magnitude B is directed downward as shown in the figure. The bar is released from rest and slides down the rails. a. Is the direction of the current induced in the bar from a to b or from b to a? Make sure to explain your answer. b. What is the terminal speed of the bar? c. What is the induced current in the bar when the terminal speed has been reached? d. After the terminal speed has been reached, at what rate is electrical energy being converted to thermal energy in the resistance of the bar? e. After the terminal speed has been reached, at what rate is work being done on the bar by gravity? How does this answer compare to your answer in part (d)?
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