Is the magnetic field change linear with the velocity change of a particle?

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SUMMARY

The discussion centers on the relationship between the velocity of negatively charged particles and the magnetic field strength at the center of a ring. It concludes that the magnetic field is indeed a function of the particle's velocity, specifically when the velocity changes from 0% to 75% of the speed of light (c). The inquiry suggests a non-linear relationship, indicating that as the velocity increases, the magnetic field strength also changes, but not necessarily in a linear manner.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with the Lorentz force law
  • Knowledge of charged particle dynamics
  • Basic principles of magnetic fields and their sources
NEXT STEPS
  • Explore the mathematical relationship between velocity and magnetic field strength using the Biot-Savart Law
  • Investigate the effects of relativistic speeds on magnetic fields
  • Study the behavior of charged particles in circular motion
  • Learn about the implications of changing magnetic fields in electromagnetic theory
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism or particle dynamics will benefit from this discussion.

carl fischbach
I have a question,if you have X number of
negatively charged particles revolling uniformaly in a ring with radius
R, is there linear change in magnetic field strength at the center
of the ring with respect to velocity change in the
charged particles, when the particles velocity
is changed from o% of c to 75% of c?
 
Physics news on Phys.org
I am not sure! may be Magnetic field is the function of the Velocity of the particle and if so of course it changes :)
 

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