Conducting loop rotating in a magnetic field

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SUMMARY

The discussion centers on the behavior of a conducting loop in the presence of a magnetic field, specifically when a bar magnet falls through it. As the south pole of the magnet approaches the loop, the current in the loop increases due to the increasing magnetic flux, as dictated by Faraday's Law. The direction of electron flow in the loop is counterclockwise, consistent with Lenz's Law. Additionally, when the speed of a conducting loop rotating in a magnetic field decreases, the magnitude of the induced current also decreases, following the principles of electromagnetic induction.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with Lenz's Law
  • Basic knowledge of magnetic fields and flux
  • Concepts of induced current in conducting loops
NEXT STEPS
  • Review Faraday's Law and its applications in electromagnetic induction
  • Study Lenz's Law to understand the direction of induced currents
  • Explore the concept of magnetic flux and its calculations
  • Investigate the effects of varying speed on induced current in rotating loops
USEFUL FOR

Students and educators in physics, electrical engineers, and anyone interested in the principles of electromagnetism and electromagnetic induction.

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A bar magnet falling vertically through a stationary horizontal loop of conducting wire. Then, there are two questions related to this problem.
1. As the south pole of the magnet approaches the loop, the current in the loop
1) decreases 2) increases 3) remains the same

2. As the south pole of the magnet approaches the loop, the direction of the electron flow in the loop is
1) counterclockwise 2) clockwise 3) alternating

3. Now this is a separate problem. As the speed of a conducting loop rotating in a magnetic field decreases, the magnitude of the induced current in the loop.
1) decreases 2) increases 3) remains the same

For me, I have no clue of solving these problems. I am weak at electromagnetism. I hope you can give me some hint and guide me to solve them. Thanks.
 
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You will want to review material on Faraday's Law and Lenz' "Law"; the latter is helpful in figuring out how (though, not in understanding why) the induced current will flow in the wire loop.

For the first pair of questions, consider that the bar magnet has its magnetic field lines emerging from its north pole and re-entering at its south pole. The "density" of magnetic field lines becomes larger closer to the poles.

As the south pole approaches the wire loop, more and more field lines are passing through it (we say the magnetic flux through the loop is increasing). Because this is the south pole, the field lines are pointing away from the loop. What do the two Laws mentioned above suggest will happen in the wire?
 

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