E-field of a moving charge at constant velocity

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SUMMARY

The discussion centers on the concept of the electric field generated by a moving charge at constant velocity, specifically referencing the Lorentz factor, denoted as gamma(u). The Lorentz factor is crucial in understanding how the electric field behaves when the charge is in motion, particularly when its velocity is significantly less than the speed of light (c). In such cases, the electric field closely resembles that of a stationary charge, simplifying calculations and conceptual understanding.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the Lorentz factor (gamma)
  • Basic knowledge of electric fields and charges
  • Concept of velocity in the context of electromagnetic theory
NEXT STEPS
  • Study the derivation and applications of the Lorentz factor in special relativity
  • Explore the relationship between electric fields and moving charges
  • Investigate the implications of charge motion on electromagnetic fields
  • Learn about the mathematical formulation of electric fields in different reference frames
USEFUL FOR

Students of physics, particularly those studying electromagnetism and special relativity, as well as educators seeking to clarify concepts related to moving charges and their electric fields.

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STosh9 said:
But I can't figure out what gamma(u) is.
That's the usual Lorentz factor of special relativity. See: Lorentz factor
 
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Thanks. So if the charge is moving slow compared to c, then the field resembles that of a stationary charge.
 

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