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 17
Q

In Fig. 21–11, the rod moves with a speed of 1.6 m/s on rails 30.0 cm apart. The rod has a resistance of 2.5  Ω2.5 \; \Omega. The magnetic field is 0.35 T, and the resistance of the U-shaped conductor is 21.0  Ω21.0 \; \Omega at a given instant. Calculate

  1. the induced emf,
  2. the current in the conductor, and
  3. the external force needed to keep the rod’s velocity constant at that instant.
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. 0.17 V0.17 \textrm{ V}
  2. 7.1×103 A7.1 \times 10^{-3} \textrm{ A}
  3. 7.5×104 N7.5 \times 10^{-4} \textrm{ N}
Giancoli 7th Edition, Chapter 21, Problem 17 solution video poster
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