Point charges in non-inertial reference frames

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SUMMARY

In non-inertial reference frames, two point charges with the same charge can exhibit complex interactions that differ from the expected repulsion in inertial frames. When these charges move in circular motion, the induced magnetic fields can lead to scenarios that challenge conventional understanding. However, it is established that a net attraction between like charges is impossible under normal conditions, as the required velocity would exceed the speed of light (c), which is not feasible according to the principles of special relativity.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with electromagnetic theory
  • Knowledge of non-inertial reference frames
  • Basic mathematics involving velocity and magnetic fields
NEXT STEPS
  • Study the implications of special relativity on electromagnetic interactions
  • Explore the behavior of charges in non-inertial reference frames
  • Investigate the mathematics of induced magnetic fields in circular motion
  • Learn about the Lorentz force and its applications in particle physics
USEFUL FOR

Physicists, students of electromagnetism, and anyone interested in advanced concepts of charge interactions in varying reference frames.

Ertosthnes
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Okay, in inertial reference frames, two particles with the same charge will always repel each other. Even if they were moving in parallel at high speeds, and thus producing magnetic fields, special relativity would come in and balance the forces from the electric and magnetic fields so that there would be a net repulsion.

But suppose that two particles of the same charge were moving parallel to each other in a circular motion. Is it possible there could be a net attraction from the induced magnetic fields? More generally, is it true in general that it is always impossible for two particles of the same charge to have a net attraction?
 
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No. The mathematics is such that v would have to be greater than c for that to happen which is obviously not possible.
 
McLaren Rulez said:
No. The mathematics is such that v would have to be greater than c for that to happen which is obviously not possible.

Can you elaborate?
 

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