What Velocity Cancels Electrostatic Repulsion Between Electrons?

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SUMMARY

The discussion centers on the velocity at which the attractive magnetic field generated by two parallel moving electrons or protons cancels out their electrostatic repulsion. Participants highlight the relativistic implications of this scenario, questioning how the world-line of a moving electron appears across different frames of reference at varying velocities. Additionally, the conversation touches on the interaction between classical electromagnetism and relativistic effects, particularly regarding the acceleration of charged particles and the absence of magnetism in certain contexts.

PREREQUISITES
  • Understanding of classical electromagnetism principles
  • Familiarity with special relativity concepts
  • Knowledge of particle physics, specifically electron and proton behavior
  • Basic grasp of world-lines in the context of relativistic physics
NEXT STEPS
  • Research the relationship between velocity and electromagnetic forces in special relativity
  • Study the concept of world-lines in different inertial frames
  • Explore the implications of relativistic effects on charged particle interactions
  • Investigate advanced topics in electromagnetism, such as the role of magnetic fields in particle acceleration
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Physics students, researchers in particle physics, and anyone interested in the interplay between electromagnetism and relativity will benefit from this discussion.

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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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