1996•American Journal of PhysicsRequires access

Derivation of relativistic force transformation equations from Lorentz force law

Oleg D. Jefimenko

Abstract

Relativistic transformation equations for the 3-vector force are derived from the Lorentz force law by using the well-known transformation equations for electromagnetic fields and velocity. The derivation is a simple alternative to the conventional derivation based on relativistic expressions for energy and momentum.

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Key concepts: Physics, Lorentz force, Moving magnet and conductor problem, Lorentz transformation, Classical mechanics, Energy–momentum relation, Four-momentum, Lorentz factor