Potential energy and magnetic torque

AI Thread Summary
Potential energy is defined relative to a reference point, and its value can be arbitrary, meaning it can be set to zero at any position. When the magnetic moment (u) is perpendicular to the magnetic field (B), the torque is indeed at its maximum, but this does not imply that potential energy is non-zero. The potential energy decreases as the angle between u and B changes from 90 degrees to 0 degrees, transitioning from zero to a negative value. The key point is that only the change in potential energy matters, not its absolute value. Understanding this concept clarifies the relationship between torque and potential energy in magnetic systems.
Jaymo3141
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i'm having a hard time understanding why potential energy is 0 when u(mu) is perpendicular to B(mag field). Isn't the torque at max when the angle between u and B is 90? and there for has potential to do work all the way until the angle is 0. The way my mind sees it is, since there is a torque on the loop, it will move. Since it wants to move it should therefore have potential energy, just like if a box is up in the air and wants to fall. I just don't understand how potential energy goes from 0 to negative. It doesn't make sense to me. Any help would be greatly appreciated. thank you
 
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It is arbitrary to what position you assign the zero of potential energy. Only the change counts. The change from zero to some -U value is the same as from U to zero.

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