Classical Physics


A Revised Formulation of Maxwell's Equations

Authors: Krishna Srinivasan

In 1864, James Clerk Maxwell formulated a set of electromagnetic equations to describe the interactions between electric and magnetic fields, now known as Maxwell's equations in his honor. In this paper, using a simple thought experiment, it will be proven that Faraday's law must be revised to correctly describe the relation of the electric field generated from a time-varying magnetic field in a medium, whose relative permittivity is not unity. Ampere's law will also be modified to reflect the change in Faraday's law. Additional changes will be made to adhere the equations to the law of conservation of energy. The new set of electromagnetic equations not only does not conflict with the existing formulation, but also includes a previously unaccounted relation of a non-Ohmic current, and its generation of the magnetic field.

Comments: 9 Pages.

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Submission history

[v1] 2018-08-20 00:07:25

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