Dipole momentum of the electrons

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SUMMARY

The discussion centers on the interaction of electrons with dipole magnetic momentum and the implications of their charges. It establishes that while Coulomb's law indicates a repulsive force between electrons, the magnetic dipole-dipole interaction can vary in nature depending on orientation, with a force that diminishes with distance as F_m~1/r^4. At distances less than 10^-10 cm, magnetic attraction may surpass electric repulsion, necessitating the application of quantum mechanics to fully understand these interactions, especially at high energies where magnetic forces dominate.

PREREQUISITES
  • Understanding of Coulomb's Law and electric forces
  • Familiarity with magnetic dipole-dipole interactions
  • Basic principles of quantum mechanics
  • Knowledge of classical electromagnetism (EM)
NEXT STEPS
  • Study the implications of Coulomb's Law in particle physics
  • Explore magnetic dipole interactions in detail
  • Research quantum mechanics applications in high-energy physics
  • Learn about the relationship between electric and magnetic forces at subatomic distances
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Physicists, students of electromagnetism, and anyone interested in the quantum mechanics of particle interactions.

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We know that same charges repel and opposite attract them selfs. So if the electrons have dipole magnetic momentum, how will they repel, if they get closer with their opposite poles of the dipoles? Thank you.
 
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In Classical EM, the Coulomb force between two electrons is repulsive and F_c~1/r^2.
The magnetic dipole-dipole force can be repulsive or attractive,depending on their orientation, and F_m~1/r^4. This means that at close enough distances
(less than about 10^-10 cm) the magnetic attraction could be larger.
However, at such a short distance, quantum mechanics has to be used.
It is true that at very high energies, where the electrons can come close together, the magnetic force dominates over the electric force.
 

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