  In a brief but brilliant derivation that can be found in Maxwell's Treatise
and traced back to his 1861 and 1865 papers, he derives the force on a moving
electric charge subject to electromagnetic fields from his mathematical
expression of Faraday's law for a moving circuit. Maxwell's derivation in his
Treatise of this force, which is usually referred to today as the Lorentz
force, is given in detail in the present paper using Maxwell's same procedure
but with more modern notation.
