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General Information
    • ISSN: 2010-3697
    • Frequency: Bimonthly
    • DOI: 10.7763/IJMO
    • Editor-in-Chief: Prof. Adrian Olaru
    • Executive Editor: Ms.Yoyo Y. Zhou
    • Abstracting/ Indexing: Engineering & Technology Digital Library, ProQuest, Crossref, Electronic Journals Library, Google Scholar, EI (INSPEC, IET).
    • E-mail ijmo@iacsitp.com
Editor-in-chief
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2013 Vol.3(4): 373-376 ISSN: 2010-3697
DOI: 10.7763/IJMO.2013.V3.301

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

Jan Olof Jonson
Abstract—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.

Index Terms—Coulomb’s law, Faraday’s law of induction, the displacement current density, the continuity equation of electricity, new definition of propagation delay, transformer circuit, wrong analysis of measurements

Jan Olof Jonson is with the Stockholm University, SE-10691 Stockholm, Sweden (e-mail: universitetet@su.se).

[PDF]

Cite:Jan Olof Jonson, "The Use of Finite Differences on Electric Currents Gives Credit to Coulomb‟s Law as Causing Electromagnetic Forces, thereby Explaining Electromagnetic Induction," International Journal of Modeling and Optimization vol. 3, no. 4, pp. 373-376, 2013.

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