Force on Moving Charge: Lorentz Transformation & Point Charge

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SUMMARY

The discussion focuses on calculating the force on a point charge using Lorentz transformations in the context of electric and magnetic fields. It emphasizes that when determining the force in the charge's rest frame, one must not include the field of the point charge itself in the Lorentz transformation, as this leads to undefined results, such as division by zero. The Feynman Lectures on Physics, Vol 2, Chapter 28, is recommended for a comprehensive understanding of this topic and its historical context.

PREREQUISITES
  • Understanding of Lorentz transformations in electromagnetism
  • Familiarity with electric and magnetic fields
  • Knowledge of point charge dynamics
  • Basic principles of special relativity
NEXT STEPS
  • Read Feynman Lectures on Physics, Vol 2, Chapter 28
  • Study the implications of Lorentz transformations on electric fields
  • Explore the relationship between electric and magnetic fields in special relativity
  • Investigate the mathematical treatment of point charges in different reference frames
USEFUL FOR

Physicists, students of electromagnetism, and anyone studying the effects of special relativity on electric and magnetic fields will benefit from this discussion.

QuasarBoy543298
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consider a frame S with a given electric and magnetic fields , and a single point charge. if we want to calculate the force on the charge in his rest frame we should use Lorentz transformation to find the electric field in his rest frame. if we believe that a given field is not related to his sources, shouldn't we include the field of the point charge in the Lorentz transformation? (and if we do so , we get a division by 0).
 
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You should not include the field of the charge in either frame to find the force on the charge.
 

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