Infinitely charged wire and moving charge

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SUMMARY

The discussion centers on the interaction between a uniformly charged infinite line and a moving point charge. The key conclusion is that a stationary infinite line charge generates an electric field, while a moving line charge generates both an electric field and a magnetic field in the frame of the moving charge. The participant correctly identifies the distinction between the effects of stationary versus moving charges and wires, emphasizing the role of Maxwell's equations in understanding these phenomena.

PREREQUISITES
  • Understanding of electric and magnetic fields as described by Maxwell's equations.
  • Familiarity with the concepts of charge density and point charges.
  • Knowledge of the Lorentz force law and its application to moving charges.
  • Basic principles of electromagnetism, including the differences between stationary and moving charges.
NEXT STEPS
  • Study the implications of the Lorentz force on moving charges in electric and magnetic fields.
  • Explore the derivation and applications of Maxwell's equations in various frames of reference.
  • Investigate the concept of electromagnetic fields generated by moving charges and currents.
  • Learn about the transformations between stationary and moving frames in electromagnetism.
USEFUL FOR

Students of electromagnetism, physics enthusiasts, and educators seeking to deepen their understanding of electric and magnetic field interactions involving moving charges and infinite line charges.

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Homework Statement


There's a uniform infinite line charge with the charge density λ. A point particle with charge q moves with a velocity v parellel to infinite line. What is force exerted on point particle? What is magnetic field seen in ths moving frame(particle frame)?

Homework Equations


Basic E&M, Maxwell's equations.

The Attempt at a Solution


1) What is difference between "stationary wire & moving charge" and "moving wire & stationary charge" ?
First one will generate electric field and second one will generate magnetic field(current). Am I right?
 
Physics news on Phys.org
In the frame in which the wire is stationary, the wire will produce only an E field.

In the particle frame, the moving wire will produce both an E field and a B field.
 

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