# On Faraday's law in the presence of extended conductors

On Faraday's law in the presence of extended conductors 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The American Journal of Physics American Association of Physics Teachers

# On Faraday's law in the presence of extended conductors

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### Abstract

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.

### Journal

The American Journal of PhysicsAmerican Association of Physics Teachers

Published: Jun 20, 2018

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