Vector B in Magnetic Potential Energy

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SUMMARY

The discussion centers on the calculation of magnetic potential energy (U) using the formula U = -m x B, where m represents the magnetic moment and B denotes the external magnetic field. It is established that when calculating U for an object, only the external magnetic field acting on that object should be considered. For instance, to determine the potential energy of object Z, only the magnetic field from object X should be used, and vice versa. This approach clarifies that the potential energy of each object is influenced solely by the external magnetic field relevant to it.

PREREQUISITES
  • Understanding of magnetic moments and their significance in physics.
  • Familiarity with the concept of magnetic fields and their interactions.
  • Knowledge of vector mathematics, particularly cross products.
  • Basic principles of potential energy in electromagnetic systems.
NEXT STEPS
  • Research the implications of magnetic field interactions in multi-object systems.
  • Study the mathematical derivation of the potential energy formula U = -m x B.
  • Explore the effects of varying magnetic field strengths on potential energy calculations.
  • Learn about the applications of magnetic potential energy in real-world scenarios, such as magnetic levitation.
USEFUL FOR

This discussion is beneficial for physics students, researchers in electromagnetism, and engineers working with magnetic systems, particularly those interested in potential energy calculations and magnetic field interactions.

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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