Maxwell's Derivation of the Lorentz Force from Faraday's Law

doi:10.2528/PIERM20040202

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Progress In Electromagnetics Research M	ISSN: 1937-8726

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MAXWELL'S DERIVATION OF THE LORENTZ FORCE FROM FARADAY'S LAW

By A. D. Yaghjian

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Abstract:
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.

Citation:
A. D. Yaghjian, "Maxwell's Derivation of the Lorentz Force from Faraday's Law," Progress In Electromagnetics Research M, Vol. 93, 35-42, 2020.
doi:10.2528/PIERM20040202
http://www.jpier.org/pierm/pier.php?paper=20040202

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