Determine the velocity of a reference frame S

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SUMMARY

The discussion focuses on determining the velocity of a reference frame S' where the electric field E' and magnetic field B' are both zero, given the conditions of reference frame S. Participants emphasize the application of Lorentz transformation rules for electric and magnetic fields to achieve E' = 0 and B' = 0. The transformation of fields under a Lorentz boost is crucial for solving this problem, as it directly influences the relationship between the fields in different frames.

PREREQUISITES
  • Lorentz transformation principles
  • Electromagnetic field theory
  • Understanding of electric and magnetic field vectors
  • Basic knowledge of reference frames in physics
NEXT STEPS
  • Study Lorentz transformations for electric and magnetic fields
  • Explore the conditions for E' = 0 and B' = 0 in different reference frames
  • Learn about electromagnetic wave propagation in varying frames
  • Investigate the implications of special relativity on field transformations
USEFUL FOR

Physics students, researchers in electromagnetism, and anyone studying special relativity and field transformations will benefit from this discussion.

Hydeyuki
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Can someone give me a clue/hint to finish this question?

"In a reference frame S, the electric and magnetic fields of an electromagnetic wave E
and B are perpendicular to each other. Determine the velocity of a reference frame S'
in which (a) E' = 0 and (b) B' = 0"
 
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How do the electric and magnetic fields transform under a Lorentz boost?
 
Yes, as vela said above - write down the Lorentz transformation rules for both E and B. You will see immediately what needs to happen to get E'=0 and B'=0...
 

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