Magnetic torque acts about which point on magnetic dipole?

AI Thread Summary
Magnetic torque on a current-carrying loop in a magnetic field acts along the mxB axis, raising the question of the specific point about which this torque is applied. In scenarios where a loop is placed on a sphere on an inclined plane, the analysis shows that the net torque is balanced about the point of contact with the plane rather than the center of the loop. This indicates that the magnetic torque can be considered to act through different points without altering its overall effect, as it behaves like a couple. The discussion emphasizes the importance of understanding the reference point for torque calculations in varying configurations. Ultimately, the magnetic torque's behavior is consistent regardless of the chosen point of origin.
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1. when there is a current in a loop and it is placed in a magnetic field then there will be the torque on it along the direction of mxB axis.but that axis will pass through which point.will that torque act through the center of the loop only??

2. suppose a current (I) carrying loop (of R)is rolled on a sphere(only single turn) along diameter and sphere is kept on an inclined plane of inclination theta where plane of loop is parallel to inclined plane .there is a magnetic field in downwards direction.we have to find the value of B for which sphere is in rotational equilibrium (gravity is there).
I guess the magnetic torque will act through the centre of the loop .But here they have balanced the net torque about the "point of contact" of sphere and the inclined plane and not about the centre of the loop.(it means magnetic torque was acting about the point of contact.)WHY?
 
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The magnetic torque is a couple that has the same effect for any point as origin.
 
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