Defining magnetic interaction between charged particles

hotram
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Homework Statement


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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


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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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