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Using differential calculus rigorously on electric currents, thereby using the method of finite elements, it has been possible to derive expressions for the total electromagnetic force between two electric currents, based solely on Coulomb's law, thereby applying the effects of propagation delay. These results, explored in earlier publications, have been used in order to attain a new explanation to electromagnetic induction, thereby simultaneously rejecting Faraday's Law of Induction. It is being shown that Faraday's Law of Induction fails to account for the behavior of the induced signal in a secondary loop of a typical transformer circuit, since it has been found a mathematical deficiency in the traditional analysis of electric measurements, which implies a phase fault. Instead it is successfully being shown that the usage of the Displacement Current Density, based on Coulomb's Law, and the Continuity Equation of Electricity are able to account for the correct phase behavior.

international journal of modeling and optimization

The Use of Finite Differences on Electric Currents Gives Credit to Coulomb‟s Law as Causing Electromagnetic Forces, thereby Explaining Electromagnetic Induction