Question

Derive the lorentz force law starting from langrangian in classical electrodynamics

Answer 1

LORENTZ FORCE :

let suppose that point charge Q in presence of both mgnetic and electric field .

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force due to electric field =qE vector

force due to magnetic field =q(V vector ×B vector)

F vector=(qE vector )+q(V vector ×B vector )

F vector =F vector megnetic +F vector electric