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
Messages
4
Reaction score
0

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.
 

Attachments

  • 33.P66.jpg
    33.P66.jpg
    6.5 KB · Views: 843
Physics news on Phys.org
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?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top