How does the number of turns in a loop affect the torque in a magnetic field?

AI Thread Summary
The discussion focuses on how the number of turns in a wire loop affects the torque experienced in a magnetic field. The original poster calculated torque from both the hanging mass and the magnetic field but initially overlooked incorporating the number of turns. It was clarified that for multiple turns, the torque can be expressed as T = NIA x B, where N is the number of turns. The conversation emphasizes the importance of including the number of turns in torque calculations, as it directly increases the torque produced by the loop in a magnetic field. Understanding this relationship is crucial for solving related physics problems effectively.
estanton
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Homework Statement



The 10-turn loop of wire shown in the figure lies in a horizontal plane, parallel to a uniform horizontal magnetic field, and carries a 2.0A current. The loop is free to rotate about a nonmagnetic axle through the center. A 50g mass hangs from one edge of the loop.

Homework Equations


Torque = r x F
Torque = IA x B


The Attempt at a Solution


My thought was to simply calculate the torque created by the mass and then relate that with an opposite torque provided by the magnetic field. I suspect that I'm calculating the torque created by the hanging mass wrong, since I haven't really dealt with torques in some time.
Torque = r x F -> .025m*.05kg*9.8m/s^2 = .01225 Nm
Torque = IA x B -> Torque/IA = B -> .01225/(2.0A*(.05*.1)) = B = 1.225 T

If someone could help with what I'm overlooking here I would appreciate it.
 

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never mind, I figured out that I have to use N (number of turns) in with mu.
 
Hey, I tried the same thing you did... how do you factor in the number of turns?
 
Welcome to PF :smile:

For a 1-turn loop, the torque is what estanton had before:

T = I AxB​

If instead you have 10 loops, can you tell how that affects the torque?
 
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