What Velocity Cancels Electrostatic Repulsion Between Electrons?

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The discussion centers on the velocity at which the magnetic field generated by two parallel moving electrons or protons cancels out their electrostatic repulsion. Participants note the relativistic implications of this scenario, suggesting that understanding the world-line of a moving electron across different frames of reference is complex. There is curiosity about how classical electromagnetism interacts with relativistic effects, particularly regarding the acceleration of charged particles. The conversation hints at the need for a deeper exploration of these concepts, possibly in a more advanced physics forum. Overall, the interplay between electrostatics and magnetism in relativistic contexts raises intriguing questions.
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At what velocity...(sentence)

At what velocity do 2 parallel moving electrons (or protons) attractive magnetic field equal (and therefore cancel out) the electrostatic repulsion?
 
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I'm not in school.

After further googling and pondering, I never realized how "relativistic" this line of thinking can be.

D'oh

I guess my next question then would be, "what would the world-line of one moving electron look like, in all frames of reference, at different velocities?" Would it draw the same path?

Naturally the third question would be, "Ok, classical electromagnetism states that accelerated charged particles induce acceleration in other charged particles nearby." How would relativistic-electrostatic mesh well here, being magnetisim doesn't exist and its all special relativity?
 
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You might consider posting this in the advanced physics forum, not the introductory forum... (I have no idea what you're talking about in your last post :p )
 
Is it C?
 

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