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

AI Thread Summary
Dropping a magnet through a copper tube induces an EMF due to changing magnetic flux lines, with maximum EMF occurring when half the magnet is inside the tube. The induced voltage increases as the magnet exits the tube, as its speed increases and the rate of change of flux linkage rises. There is a misconception that no EMF is induced when the magnet is fully inside the tube, but experiments show it falls slower than non-magnetic objects, indicating some EMF is present. The confusion arises regarding the expected graph shape, as a flat section at 0V is suggested when the magnet is fully inside the copper tube. Understanding these dynamics is crucial for grasping electromagnetic induction principles.
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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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