Magnetic energy of charged particle?

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SUMMARY

The discussion centers on the behavior of a charged particle in a uniform magnetic field when subjected to an impulsive force. When the charge is accelerated perpendicularly to the magnetic field, it begins to revolve in a circular path, effectively acting like a current-carrying coil. The magnetic moment, defined as 'M=I*A', interacts with the magnetic field, producing energy described by 'M.B'. The key conclusion is that the energy associated with the magnetic moment does not add to the kinetic energy but represents a different expression of the same energy, maintaining conservation of energy principles.

PREREQUISITES
  • Understanding of electromagnetic theory, particularly the behavior of charged particles in magnetic fields.
  • Familiarity with the concepts of magnetic moment and its calculation.
  • Knowledge of energy conservation principles in physics.
  • Basic grasp of circular motion dynamics in the context of charged particles.
NEXT STEPS
  • Study the derivation and implications of the Lorentz force law on charged particles.
  • Explore the relationship between magnetic moment and angular momentum in charged particle systems.
  • Investigate the concept of energy transformations in electromagnetic fields.
  • Examine practical applications of charged particle dynamics in devices like cyclotrons and synchrotrons.
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism, particularly those interested in the dynamics of charged particles in magnetic fields.

quawa99
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Consider a situation where you have a charge at rest in a uniform magnetic field.A sharp impulse is given to the charge in a direction perpendicular to the magnetic field,if the velocity is high enough the charge which starts revolving in circular path should behave like a current carrying coil.Now we know that a current carrying coil has a magnetic moment 'M=I*A',and we also know that this magnetic moment will give an energy to it which is equal to 'M.B'.My question is what happens to conservation of energy in this case because the work done by impulsive force only gives it kinetic energy but you have another magnetic field interaction energy as mention above.
 
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The energy of the magnetic moment is not in addition to the kinetic energy, but rather another way of expressing the same energy.
 
Khashishi said:
The energy of the magnetic moment is not in addition to the kinetic energy, but rather another way of expressing the same energy.

Can you please justify your statement?
 

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