Show that terminal velocity equals

AI Thread Summary
The discussion focuses on deriving the terminal velocity (Vt) of a conducting rectangular loop falling into a magnetic field. The equation to be proven is Vt = MgR/B²w², where M is mass, R is resistance, B is magnetic field strength, and w is the width of the loop. Participants emphasize the need to apply the formula for the force on a current-carrying wire in a magnetic field. There is a consensus that understanding the relationship between the loop's motion and the induced electromotive force is crucial for solving the problem. The thread highlights the challenge of grasping the underlying physics concepts necessary for the derivation.
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Homework Statement



A conducting rectangular loop of Mass M and resistance R and length l and width w falls from rest into a magnetic field B as shown. During the time interval before the top edge of the loop reaches the field, the loop approaches the terminal speed v T .

Show that Terminal velocity (Vt) = MgR
B2w2



Homework Equations



?

The Attempt at a Solution



HAve Nooooo Clue!
 
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it should be Vt = mgR/B2w2
 
Use the formula for the force on a current carrying wire in a uniform magnetic field where the wire is moving with respect to the magnetic field.
 

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