A paradox for two moving protons?

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SUMMARY

The discussion centers on the paradox involving two protons moving perpendicular to their separation distance, highlighting inconsistencies between Maxwell's Electrodynamics and Newtonian Mechanics. In one inertial frame, both electric and magnetic fields are present, resulting in conflicting forces on the protons. However, in a frame moving with the protons, only the electric field exists, leading to a contradiction in expected accelerations. The conversation concludes that using Special Relativity and Lorentz transformations resolves these inconsistencies, affirming that the calculations of force align with relativistic principles.

PREREQUISITES
  • Understanding of Maxwell's Electrodynamics
  • Familiarity with Newtonian Mechanics
  • Basic knowledge of Special Relativity and Lorentz transformations
  • Concept of electromagnetic fields and forces
NEXT STEPS
  • Study the Lorentz transformation equations in detail
  • Explore the implications of electromagnetic field transformations in different inertial frames
  • Investigate the historical context of Einstein's 1905 paper on Special Relativity
  • Learn about the covariant formulation of electrodynamics and its applications
USEFUL FOR

Physics students, educators introducing Special Relativity, and anyone interested in the foundational principles of electromagnetism and relativity.

  • #31
How much class time is being devoted to special relativity? Is it a week or two? Or is it a whole semester?
(If it's just a week or so, I repeat my suggestion of Bondi's Relativity and Common Sense.)
My $0.02.
 
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