Finding Torque on current loop.

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Homework Help Overview

The problem involves determining the torque on a current loop situated in the y-z plane within a magnetic field directed along the z-axis. The original poster seeks to understand both the direction of the torque and its magnitude, given specific current and magnetic field strength values.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to apply the right-hand rule to determine the torque direction and expresses uncertainty regarding the area of the current loop needed for torque calculation. Some participants suggest using force equations related to the loop's dimensions, while others question whether the torque could be zero based on the forces acting on the loop.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the necessity of knowing the loop's size to calculate torque, and there is a consideration of the forces acting on the loop.

Contextual Notes

There is a noted lack of information regarding the dimensions of the current loop, which is critical for calculating torque. The original poster also mentions previous problems where area was provided, highlighting the constraints of the current problem setup.

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Homework Statement


The current loop is in the y-z plane. The direction of the magnetic field is in the z-direction.

A) Which way is the torque on the current loop?
B) If the current is 4 amps and the magnetic field strength is 2.5 Tesla, what is the magnitude of the torque?

here is the picture (which I drew): http://twitpic.com/7e0zv9

Homework Equations



Right Hand Rule 2

T=IAB, T=NIABsinθ. The torque formulas I have necessitate finding an area of the current loop. But, as you can see from the picture (which displays all info. given) there is no way to find the area.


The Attempt at a Solution



A) Well, the loop is parallel to the field. If I use the right hand rule 2, the direction of the torque would be into the page, would it not?

B) I feel that I am missing something crucial. I have done a few problems similar to this one, but I was always given some number to work with to find the area of the current loop.

Seriously, ANY help is very much appreciated. Thank you.
 
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In high school physics, we use F = I*L*B (component of B perpendicular to I).
You could use that the calculate the force on the two sides of the loop that are perpendicular to the B field. If you knew their length. A larger loop would feel a larger force and greater torque than a smaller one. So, same conclusion, the size of the loop is necessary to find the answer.
 
Delphi51 said:
In high school physics, we use F = I*L*B (component of B perpendicular to I).
You could use that the calculate the force on the two sides of the loop that are perpendicular to the B field. If you knew their length. A larger loop would feel a larger force and greater torque than a smaller one. So, same conclusion, the size of the loop is necessary to find the answer.


Thank you, Delphi. I think that perhaps the torque is zero. My reasoning is that the forces acting on the loop are not trying to rotate it. At least that is how it appears.


What do you think of that?
 
No, it is exactly like the loop of wire in an electric motor. The forces are opposite in the top and bottom wires because the current is reversed, so you do have torque about the center of the loop.
 

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