Instantaneous rest-frame no Lorentz force

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SUMMARY

The discussion centers on the validity of analyzing the motion of an electron in its instantaneous rest-frame, specifically regarding the forces it experiences. It is established that in this frame, the electron only feels the electric force, with no contribution from the magnetic Lorentz force. The transformation equations provided, E'parallel = Eparallel and E'perp. = γ(Eperp. + vxB/c), clarify how electric and magnetic fields are perceived in different frames. The consensus is that the rest-frame analysis simplifies the force to solely the electric field component.

PREREQUISITES
  • Understanding of Lorentz transformations
  • Familiarity with electric and magnetic field interactions
  • Knowledge of the concept of instantaneous rest-frame
  • Basic principles of electromagnetism
NEXT STEPS
  • Study Lorentz force law in detail
  • Explore the implications of instantaneous rest-frames in special relativity
  • Learn about electromagnetic field transformations
  • Investigate the role of electric and magnetic fields in particle motion
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Physicists, students of electromagnetism, and anyone interested in the relativistic behavior of charged particles in electric and magnetic fields.

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Is it valid to analyse the equation of motion of an electron in its instantaneous rest-frame in which it feels a force from the electric field only with no magnetic Lorentz force component?
 
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In its rest frame, the electron feels a force from both the electric and magnetic fields of the laboratory frame. The transformation is:
E'parallel= Eparallel
E'perp. =γ(Eperp. + vxB/c)
 
Last edited:
Vin300 is right if you want to know the rest frame force in terms of E and B in a different frame. In its res frame, an electron feels only the Lorentz force of the E field in that frame, with no magnetic component.
 

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