Direction of Torque on Parallel Wires with Current

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SUMMARY

The discussion focuses on determining the direction of torque on a top wire due to a bottom wire in a parallel current setup. Both wires carry current to the left, creating a magnetic field (B-field) that points into the page at the top wire. The torque (τ) is calculated using the equation τ = μ × B, where μ represents the magnetic moment. The participants clarify that the magnetic moment can be conceptualized by adding an imaginary third wire to complete a loop, which helps visualize the torque direction.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically torque in magnetic fields.
  • Familiarity with the right-hand rule for determining magnetic field directions.
  • Knowledge of magnetic moment (μ) and its application in current-carrying wires.
  • Basic grasp of vector cross products in physics.
NEXT STEPS
  • Study the application of the right-hand rule in various electromagnetic scenarios.
  • Explore the concept of magnetic moment (μ) in detail, especially in current loops.
  • Learn about torque calculations in different configurations of current-carrying wires.
  • Investigate the effects of multiple parallel wires on magnetic fields and torque.
USEFUL FOR

Physics students, electrical engineers, and educators seeking to deepen their understanding of electromagnetic forces and torque in parallel wire systems.

Gee Wiz
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Homework Statement



There are two wires in parallel with the current traveling to the left in both. Find the direction of the torque on the top wire due to the bottom wire.

Homework Equations



torque=μ×B


The Attempt at a Solution



I know I can use the right hand rule to find the direction of the b-field using the currents. So, at the top wire the b-field is pointing into the page. I'm not quite sure where μ is here since i thought that only applied to current loops.
 
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Hi Gee Wiz! :smile:
Gee Wiz said:
I know I can use the right hand rule to find the direction of the b-field using the currents. So, at the top wire the b-field is pointing into the page. I'm not quite sure where μ is here since i thought that only applied to current loops.

if you like, you can complete a loop by adding an imaginary third wire, below the bottom wire, with current going to the right, so that you can make a loop out of any section of the top wire and the new wire :wink:
 
So, you mean having the top wire loop with the third bottom wire with the current going in the counterclockwise direction. Then having u point out of the page, and when that is crossed with b the torque would be zero. ?
 

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