Vector B in Magnetic Potential Energy

AI Thread Summary
In calculating magnetic potential energy (U) using the formula U = -m x B, B should represent the external magnetic field acting on the magnetic moment m. For object Z, only the magnetic field of object X should be considered, while for object X, the magnetic field of object Z should be used. This approach clarifies that each object's potential energy is influenced solely by the external field from the other object. The discussion raises a question about whether the potential energy values for both objects are equivalent. Understanding these relationships is crucial for accurate calculations in magnetic systems.
Phztastic
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U = -m x B

Is B the total magnetic field of the whole system?
If there is two objects X,Z and they all have a magnetic field. But different strengths,
I want to calculate the U for Z, B should be the total magnetic field of BOTH fields or only X's field strength?

Since X is the external magnetic field.
 
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In the calculation of U = -m x B
You should only take account of the EXTERNAL MAGNETIC FIELD acting on the magnetic moment.
Meaning, if you'd like to figure out the U of Z, then only use the magnetic field of X.

Similarly if you want to calculate U of X, then you use only the magnetic field of Z.

I wonder, is the potential energy of both X and Z the same, I'll leave that up to you Phztastic.
 
Phztastic said:
U = -m x B
U=-m\cdot B if U is the energy, m is a permanent magnet, and B is the external field.
 
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