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The Law of Electromagnetic Induction Proved to be False Using Classical Electrostatics

Jan Olof Jonson
Year: 2003 Pages: 8
Keywords: Electromagnetic induction, Coulomb's Law, Ohm's Law, Maxwell's equations
A new explanation to the effect of electromagnetic induction is proposed, while simultaneously rejecting the currently accepted 'Induction Law', originally proposed by Neumann, 1845. According to the new theory, a current will be induced by any changing electric field, due to the Continuity Equation of Electricity and the Law of Electric Displacement, two of Maxwell's Equations.

It has been shown elsewhere that a current within a conductor, in spite of an overall charge neutrality, will give rise to a force upon another such current, due to Coulomb's Law, thereby rejecting the claims of the Lorentz Force. Here it is shown that the same Coulomb force can also account for electromagnetic induction. A comparison between the predicted phase shift from the primary to the secondary loop within a transformer according to this theory and according to the Induction Law gives credit to the former, while the latter fails. This result follows as a consequence of the discovery that any electric current through a resistive circuit must be proportional to the time derivative of the applied voltage, not primarily the voltage itself, as usually has been inferred from Ohm's Law. It is shown that it is only a coincidence with the fact that the time derivative of an exponential function is proportional to that same exponential function, which gives this result, usually understood as Ohm's Law.

The exponentially decaying nature of a current through a D.C. circuit is due to the continuous loss of excess charges at the poles, as the current flows, just an analog to what happens, when a charged capacitor is connected to a resistive loading.