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[Phys-L] Falling magnet and eddy currents



Hi,

Nowadays I seldom get a question that I cannot answer from my students. The reason is that after nearly 30 years of teaching physics, I've heard a lot of questions.

The recent question I couldn't anwer is about a falling magnet, induced emf, and eddy currents. If a solenoid is long, zero voltage is observed when the magnet is fully inside the solenoid:

https://mammothmemory.net/physics/magnets-and-electromagnetism/electromagnetism/drop-a-magnet-through-a-solenoid.html

On the other hand, the effect of eddy currents is clearly observable with naked eye if a neodymium magnet and an aluminium tube is used.  This is easy to explain using Faraday's law.

So far, so good?

A student asked why there are no eddy currents in the long solenoid when the magnet is fully inside, since the situation looks quite similar to the aluminium tube case. Of course, one clear difference is that the long coil has a much larger resistance than the aluminium tube which would limit the effect of eddy currents on the falling magnet if there were an induced emf in the first place. However, there is a change in magnetic flux through an individual coil turn in the solenoid (quite similarly to the aluminium tube) when the magnet passes by, although there is no net change of magnetic flux through the solenoid as a whole.

Perhaps I'm missing something important here. How would you answer the student?

Regards,

Antti Savinainen, PhD

Kuopio Lyseo HS

Finland