Electromagnetism in Reference Frames

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In the context of electromagnetism and reference frames, observer A, who is at rest relative to a stationary charge, will not detect a magnetic field, while observer B, who sees the charge moving at a constant velocity, will detect a magnetic field. This discrepancy arises from the principles of relativistic electromagnetic theory, as outlined in Einstein's original paper on special relativity. The transformation laws for electromagnetic fields between different reference frames explain this phenomenon. The discussion emphasizes the importance of the observer's frame of reference in detecting electromagnetic fields. Understanding these concepts is crucial for grasping the implications of relativity in electromagnetism.
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If observer A was at rest with respect to a charge that was moving with a constant velocity |v| > 0 in observer B's reference frame, would observer A detect a magnetic field?
 
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No. B would detect a magnetic field, A would not.
 
DaleSpam said:
No. B would detect a magnetic field, A would not.

I see. So, in terms of relativistic electromagnetic theory, how does that happen?
 
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Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'
So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.

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