F = qvB in Relativity: A Charge in Magnetic Field

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    Relativity
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Discussion Overview

The discussion revolves around the application of the equation F = qvB in the context of relativity, particularly when a charge is moving at velocities close to the speed of light within a magnetic field. Participants explore the implications of the magnetic field's source velocity on the force experienced by the charge.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether F = qvB can be applied when the charge's velocity is nearly the speed of light.
  • Another participant simply affirms the use of the equation without further elaboration.
  • A different participant introduces the scenario where the source of the magnetic field has its own velocity (vs) and asks how this affects the force.
  • Another participant asserts that the force depends only on the magnetic field B and not on its source, indicating that force is related to the rate of change of momentum (dp/dt).

Areas of Agreement / Disagreement

The discussion contains multiple competing views, particularly regarding the impact of the source velocity of the magnetic field on the force experienced by the charge. There is no consensus on how these factors interact.

Contextual Notes

Participants do not clarify the assumptions underlying their statements, nor do they resolve the implications of relativistic effects on the force equation.

IPhO' 2008
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A charge q has a velocity v in the magnetic field B if v is nearly to velocity of light.
Can we use F = qvB.
Thank you.
 
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Yes.
 
If the source of magnetic field has a velocity vs .
F = ? :confused:
 
F depends only on B, not where it came from. The F means dp/dt.
 

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