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

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Homework Help Overview

The discussion revolves around the relationship between the number of turns in a wire loop and the torque experienced in a magnetic field. The scenario involves a 10-turn loop carrying a current and affected by a hanging mass, with participants exploring the implications of the number of turns on torque calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss calculating torque from both the hanging mass and the magnetic field, with one participant questioning how to incorporate the number of turns into their calculations. Another participant reflects on the initial torque calculation and its relation to the number of turns.

Discussion Status

The discussion is active, with participants sharing their attempts and questioning how the number of turns affects the torque. Guidance has been offered regarding the torque formula for multiple turns, but no consensus has been reached on the specific calculations yet.

Contextual Notes

Participants are navigating the complexities of torque calculations, particularly in relation to the number of turns in the loop and its effect on the overall torque in the magnetic field. There is an indication of confusion regarding the correct application of formulas and the role of the number of turns.

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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