Lorentz Force -- from Eric Weisstein's World of Physics

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Lorentz Force

A force on moving charges particles in the presence of magnetic B and electric fields E. The electromagnetic field tensor in MKS is given by

so the Lorenz force is
where q is the charge on a particle, v is its velocity, is the electric potential, and A is the magnetic vector potential.

Canonical Momentum, Electric Force, Magnetic Field, Magnetic Force