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Maxwell eventually left vortex theory and other physical analogies out of his writings, replacing them with equations and some assumptions regarding the elastic structure of the medium. In 1865 he published his seminal theory of electromagnetism, A Dynamical Theory of the Electromagnetic Field. His 20 equations describing the electromagnetic field consisted of three equations each for magnetic force, electric currents, electromotive force, electric elasticity, electric resistance, total currents; and one equation each for free electricity and continuity.
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