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A Circuit Equation as a Limit of Eddy Current Equations

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We consider a three-dimensional time-harmonic eddy current problem formulated in terms of the magnetic field. We prove that in the case of one thin toroidal conductor, eddy current equations have… Click to show full abstract

We consider a three-dimensional time-harmonic eddy current problem formulated in terms of the magnetic field. We prove that in the case of one thin toroidal conductor, eddy current equations have as a limit Kirchhoff’s algebraic equation for circuits. This approximation is valid in the case of small resistivity and voltage.

Keywords: circuit equation; eddy current; limit eddy; current equations; equation limit

Journal Title: Archive for Rational Mechanics and Analysis
Year Published: 2017

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