NIB Magnet Dropped in a Cu tube - Forces

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SUMMARY

The discussion focuses on the behavior of a strong magnet dropping through a non-magnetic but conductive copper (Cu) tube, specifically examining the forces involved due to induced Eddy currents. The participant identifies the relationship between the falling magnet and the induced magnetic fields, noting that the right-hand rule does not apply correctly in the provided diagram. The participant concludes that the induced magnetic field below the magnet repels it, while the field above attracts it, leading to a slower descent. The equations of motion, including F = IL X B, are referenced to analyze the forces acting on the magnet.

PREREQUISITES
  • Understanding of electromagnetic induction and Eddy currents
  • Familiarity with the right-hand rule in electromagnetism
  • Knowledge of the Lorentz force equation, F = qvB
  • Basic principles of magnetic fields and their interactions with conductors
NEXT STEPS
  • Study the principles of electromagnetic induction in solid conductors
  • Research the effects of Eddy currents on moving magnets in conductive materials
  • Explore the application of the right-hand rule in various electromagnetic scenarios
  • Learn about the differences in behavior between coils and solid conductors in magnetic fields
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of magnets in conductive environments, particularly in relation to electromagnetic induction and forces.

MrLiou168
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Homework Statement


I'm trying to figure out and explanation as to why a strong magnet drops so slowly through a non-magnetic but conducting Cu tube. The attached diagram shows the original B field, induced Eddy currents, and secondary B field as a result of those Eddy currents, but I can't figure out my Force vectors. Any help greatly appreciated.


Homework Equations


F = qvB
F = qv X B
F = IL X B

The Attempt at a Solution


See attached diagram...
 

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I think after studying the following,

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/farlaw.html

that your drawing has the induced currents going the wrong way? The induced magnetic field looks right though (note something is wrong as the right-hand rule does not apply to your drawing (induced current and secondary magnetic field)). The induced magnetic field below the falling magnet repels the falling magnet and the induced magnetic field above the falling magnet attracts the falling magnet.
 
Thanks for the response. Those examples are all of coils, and not solid conductors. Does this make a difference?

And in terms of the directions of the Eddy currents, is it correct to use I X B = F?
 

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