Balancing magnetic force with gravity.

AI Thread Summary
The discussion focuses on the dynamics of a square aluminum loop falling through a uniform magnetic field and the effects of gravity and magnetic force. Questions arise about the loop's behavior when starting at different positions relative to the magnetic field, specifically whether the magnetic field strength (B) would be zero at the bottom edge. It is clarified that B would not be zero, and the loop would experience a magnetic force as soon as it enters the field. The complexity of the problem does not significantly increase if the loop starts above the field, as the induced current direction changes but the fundamental dynamics remain the same. The discussion concludes with inquiries about the effects when both edges of the loop are within the magnetic field.
Sammy268
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I have been reading ahead in my course from Griffiths textbook and I have a couple of questions. I found this solution online to a question: http://glennrowe.net/physicspages/2013/09/23/balancing-magnetic-force-with-gravity/

It says: A square loop is cut out of a thick sheet of aluminum. It is then placed so that the top portion is in a uniform magnetic field B, and allowed to fall under gravity.

The solution is fairly easy to understand, but I have a couple of questions.

What if the loop starts when the bottom edge is in line with the bottom of the magnetic field? In this case would B = 0? Is it possible to work out how long it would take to clear the field?

What would happen if the loop were to begin falling from above the field? Does this make the problem harder?
 
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Sammy268 said:
What if the loop starts when the bottom edge is in line with the bottom of the magnetic field? In this case would B = 0? Is it possible to work out how long it would take to clear the field?
The magnet provides B the B field, so no, B would not be =0.
If in line with the B field as soon as the loop falls any distance it has cleared, and the problem becomes as before.

Sammy268 said:
What would happen if the loop were to begin falling from above the field? Does this make the problem harder?
Not really.
The current would be in the opposite direction with the bottom edge within the field as opposed to the bottom edge within the field.

What do you think would happen if both top and bottom edge are both within the field?
 
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