Magnetic dipole and a torque

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SUMMARY

The discussion centers on the concept of magnetic torque as presented in chapter 6.1.2, specifically addressing the use of the sine function in the torque formula. The torque arises from forces acting on opposite sides of a rectangular current loop, leading to confusion regarding the angle involved. The participants clarify that the angle referenced is between the magnetic dipole moment (m) and the magnetic field (B), not the forces themselves. Understanding the Lorentz force equation is essential for grasping the underlying principles of magnetic torque.

PREREQUISITES
  • Understanding of magnetic dipole moment (m)
  • Familiarity with magnetic fields (B)
  • Knowledge of torque in physics
  • Basic grasp of the Lorentz force equation
NEXT STEPS
  • Study the derivation of the torque formula for magnetic dipoles
  • Explore the Lorentz force equation in detail
  • Investigate the relationship between magnetic fields and current loops
  • Learn about the applications of magnetic torque in engineering
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and magnetic torque applications.

mondo
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In reading chapter 6.1.2 I stumbled upon a magnetic torque concept which I don't understand, here is the problematic fragment
magnetic_dipole_torque.png


In the formula for N author multiplies by ##sin(\theta)## but why? The torque is said to be caused by forces (caused by magnetic field) on opposite side of a rectangular current loop. So there is no angle between them! They both lie in the same plane and are parallel to each other. IOW, the angle between is 0.
From the figure 6.2 it look like author takes an angle between m (magnetic dipole) and B (magnetic filed) but why if the torque is said to be generated by forces on opposite side of a rectangle?
 
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Hi,

Here you find a comprehensive picture, with the accompanying text you should be able to answer your question.

Personally I find it instructive to fall back on the equation for the Lorentz force.

##\ ##
 

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