The use of Faraday's Law of induction for calculating the induced currents in an extendedconducting body is discussed. In a general case with arbitrary geometry, the solution tothe problem of a moving metal object in the presence of a magnetic field is difficult andimplies solving Maxwell's equations in a time-dependent situation. In many cases,including cases with good conductors (but not superconductors) Ampère's Law can beneglected and a simpler solution based solely in Faraday's law can be obtained. Theintegral form of Faraday's Law along any loop in the conducting body is equivalent to aKirkhhoff's voltage law of a circuit. Therefore, a numerical solution can be obtained bysolving a linear system of equations corresponding to a discrete number of loops in thebody.
The American Journal of Physics – American Association of Physics Teachers
Published: Jun 20, 2018
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