Understanding the Induction of EMF in a Copper Tube by a Falling Magnet

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SUMMARY

The discussion centers on the induction of electromotive force (EMF) in a copper tube when a magnet is dropped through it. It is established that as the magnet enters the tube, the changing magnetic flux induces an EMF due to Faraday's law of electromagnetic induction. The maximum EMF occurs when half of the magnet is within the tube, as this is when the rate of change of magnetic flux is greatest. Contrary to initial assumptions, the presence of the magnet does indeed slow its descent compared to a non-magnetic object, indicating that induced currents are at play, despite claims of zero EMF when the magnet is fully inside the tube.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Fleming's Left-Hand Rule for motor effect
  • Basic principles of magnetic flux and its relation to EMF
  • Knowledge of the behavior of conductors in magnetic fields
NEXT STEPS
  • Study the mathematical formulation of Faraday's Law in detail
  • Explore the concept of Lenz's Law and its implications on induced currents
  • Investigate the effects of different materials on EMF induction
  • Conduct experiments to measure the EMF induced in various configurations of magnets and conductive tubes
USEFUL FOR

Physics students, educators, and anyone interested in the principles of electromagnetism and their practical applications in experiments involving conductive materials and magnetic fields.

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Homework Statement


If I drop a magnet through a long tube of copper how would the EMF vary with time?

Homework Equations





The Attempt at a Solution


When the magnet enters the copper tube some of the magnetic flux lines are being cut hence an EMF is induced in the copper coil
If we look at flemmings left hand rule how does this work. We have a force downward and let's say the south end of the magnet is at the bottom, the magnetic field lines point downwards. So where does the force act?

Now when half the magnet is in the coil and half not apparently the EMF is at a maximum, why?

Also, apparently, when the magnet is in the tube no EMF is induced. BUT when we carry out experiments it would suggest this is NOT true as it takes longer for a magnet to fall through the tube than a non-magnetic item (by a significant amount of time!). What is the real answer?

I do know that the induced voltage would be greater when the magnet falls through the other end as its moving faster so the rate of change of flux linkage is greater hence EMF induced is greater

Could someone please help fill in the gaps and possible either walk me through what happens or tell me what happens

Thanks :)
 
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