Defining magnetic interaction between charged particles

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SUMMARY

The discussion focuses on the magnetic interaction between two charged particles, specifically addressing how their motion and spin contribute to magnetic fields. It is established that a charged particle generates a magnetic field when it possesses velocity, whether through translation or spin. The confusion arises regarding the reference frames and how the motion of one particle affects the magnetic field created by another. The interaction between the two particles is confirmed to be influenced by their velocities and spins, leading to magnetic interactions.

PREREQUISITES
  • Understanding of charged particles and their properties
  • Familiarity with Special Relativity concepts
  • Knowledge of magnetic fields and their generation
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the Lorentz force law and its implications for charged particles
  • Explore the Biot-Savart law for calculating magnetic fields from moving charges
  • Learn about the role of angular momentum in magnetic interactions
  • Investigate reference frames in Special Relativity and their effects on observed velocities
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in electromagnetism and the behavior of charged particles in motion.

hotram
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Homework Statement


[/B]
Consider two charged particles 1 and 2, each of them able to translate (move from place to place) and to spin.

Homework Equations



I can not completely think of relevant equations at the moment.

The Attempt at a Solution


[/B]
I am a bit confused on how charged particles can create magnetic fields. and if there is magnetic interaction between particle 1 and 2.

I know that when a charged particle has a velocity, it creates a magnetic field.
In class, we covered Special Relativity, but I'm still a bit confused on what velocity of a charged particle means. (As in, if particle 1 translates pass particle 2 with a velocity, does that create a magnetic field, since both particles have a velocity in either reference frame?)

Translating (moving) I am pretty sure means a charged particle has a velocity, but what about if one particle 1 is spinning while particle 2 is at rest, would that be considered the charged particle having a velocity?
 
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If so, this would create a magnetic field, correct?I guess I am just confused on how two charged particles can create a magnetic field, and if there is any interaction between them. Any help would be appreciated!
 

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