Point charges in non-inertial reference frames

AI Thread Summary
In non-inertial reference frames, two charged particles moving in circular motion can potentially experience different interactions compared to inertial frames. While normally, like charges repel each other due to electric forces, the dynamics change when considering induced magnetic fields. However, it remains impossible for two like charges to have a net attraction, as this would require velocities exceeding the speed of light, which contradicts the principles of special relativity. The discussion emphasizes that the mathematics governing these interactions confirms that repulsion is the only outcome for like charges under normal conditions. Overall, the principles of electromagnetism and relativity maintain that net attraction between like charges is not feasible.
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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