Magnet moved through copper ring

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SUMMARY

The discussion focuses on the principles of electromagnetic induction as applied to a copper ring in proximity to a moving magnet. It establishes that a current is induced in the ring when the magnet moves horizontally towards it or when the ring is rotated in its plane. Conversely, no current is induced when the ring is rotated around its diameters or when the magnet is moved vertically. The reasoning is supported by the concept of changing magnetic flux, as described by the equation ΔFlux=Induced Current.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the concept of magnetic flux
  • Knowledge of Faraday's Law of Induction
  • Basic skills in sketching magnetic field interactions
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  • Explore the concept of magnetic flux and its calculations
  • Investigate the effects of different shapes and materials on induced current
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Homework Statement


The figure shows a ring of copper with its plane perpendicular to the axis of the nearby rod-shaped magnet. For each of the situations described below, indicate whether there will or will not be a current induced in the ring and justify your reasoning, drawing pictures if necessary.

The magnet is moved horizontally toward the left?
The ring is moved away from the magnet?
The ring is rotated around any of its diameters?
The magnet is moved up or down?
The ring is rotated around its center in the plane in which it lies?

Homework Equations



ΔFlux=Induced Current

The Attempt at a Solution



The magnet is moved horizontally toward the left?
Yes, there will be a change in flux so a current will be induced.

The ring is moved away from the magnet?
Yes, there will be a change in flux so a current will be induced.

The ring is rotated around any of its diameters?
No, there would not be a change in flux so no current will be induced.

The magnet is moved up or down?
No, there would not be a change in flux so no current will be induced.

The ring is rotated around its center in the plane in which it lies?
Yes, there will be a change in flux similar to if the magnet rotated, therefore a current will be induced.

Im not sure how correct my reasoning or answers are, any explanation or help would be much appreciated. Thank you
 

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I think your third, fourth, and fifth answers are wrong. See sketch for #3. For number 4 I suspect there is a clever hand waving argument but I can't think of it right now so I got a large coil of wire, a magnet, and a digital volt meter and seemed to confirm my hunch that the movement in question 4 should generate induced current, not a large one though compared with the others. For number 5 the integral of BdotA does not change in time so there is no induced current.
 

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