Relative Magnetic Fields: What is Reality?

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SUMMARY

The discussion centers on the concept of electric charges and their associated magnetic fields as described in Andrew Robinson's book 'Einstein'. It establishes that a stationary electric charge does not produce a magnetic field, while an observer in motion relative to that charge perceives a magnetic field due to relativistic effects. The conversation clarifies that the presence of a magnetic field is dependent on the observer's frame of reference, and measurements of electromagnetic fields are invariant across different frames, adhering to the covariant laws of electromagnetism.

PREREQUISITES
  • Understanding of basic electromagnetic theory
  • Familiarity with Einstein's theory of relativity
  • Knowledge of reference frames in physics
  • Concept of covariant laws in electromagnetism
NEXT STEPS
  • Study the principles of relativistic electromagnetism
  • Explore the implications of frame invariance in electromagnetic measurements
  • Learn about the Lorentz transformations and their effects on electric and magnetic fields
  • Investigate practical applications of electromagnetism in electric motors and other devices
USEFUL FOR

Physics students, educators, and professionals interested in advanced electromagnetism and the implications of relativity in electromagnetic theory.

abrogard
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According to page 61 'Einstein' by Andrew Robinson an electric charge at rest produces no magnetic field.

But: For an observer moving East with uniform motion the charge will appear to be moving West uniformly and B, using a sensitive compass, will detect a magnetic field around the 'moving' charged object.

This boggles my mind.

This charge has simultaneously a magnetic field and no magnetic field?

So that if the field were to produce an output of some sort it would simultaneously not produce and produce an output?

Well, a magnetic field IS an output, isn't it?

I envisage whole electric motors both switched on an switched off at the same time...
 
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abrogard said:
This charge has simultaneously a magnetic field and no magnetic field?
I wouldn't use the word "simultaneously" since it has a specific meaning that doesn't work here. But yes, at every event the field is purely electric in one frame and is electric plus magnetic in other frames.

abrogard said:
So that if the field were to produce an output of some sort it would simultaneously not produce and produce an output?
No, the outcome of any measurement is frame invariant.

abrogard said:
Well, a magnetic field IS an output, isn't it?
How would you measure the magnetic field? Whatever way you can think of, you are guaranteed that the measurement will come out the same in any reference frame. The laws of EM are covariant.
 

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