Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
21
Electromagnetic Induction and Faraday's Law
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21-1 to 21-4: Faraday's Law of Induction
21-5: Generators
21-6: Back EMF and Torque
21-7: Transormers
21-10: Inductance
21-11: Magnetic Energy Storage
21-12: LR Circuit
21-13: AC Circuits and Reactance
21-14: LRC Circuits
21-15: Resonance in AC Circuits

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 15
Q

In order to make the rod of Fig. 21–11a move to the right at speed vv, you need to apply an external force on the rod to the right.

  1. Explain and determine the magnitude of the required force.
  2. What external power is needed to move the rod? (Do not confuse this external force on the rod with the upward force on the electrons shown in Fig. 21–11b.)
A conducting rod is moved to the right on a U-shaped conductor in a uniform magnetic field B that points out of the page. The induced current is clockwise.
Figure 21-11 (a) A conducting rod is moved to the right on a U-shaped conductor in a uniform magnetic field B\vec{B} that points out of the page. The induced current is clockwise.
Upward force on an electron in the metal rod (moving to the right) due to B pointing out of the page; hence electrons can collect at the top of the rod, leaving + charge at the bottom.
Figure 21-11 (b) Upward force on an electron in the metal rod (moving to the right) due to B\vec{B} pointing out of the page; hence electrons can collect at the top of the rod, leaving + charge at the bottom.
A
  1. B2l2vR\dfrac{B^2l^2v}{R}
  2. B2l2v2R\dfrac{B^2l^2v^2}{R}
Giancoli 7th Edition, Chapter 21, Problem 15 solution video poster
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