The use of Faraday's Law of induction for calculating the induced currents in an extended conducting body is discussed. In a general case with arbitrary geometry, the solution to the problem of a moving metal object in the presence of a magnetic field is difficult and implies solving Maxwell's equations in a time-dependent situation. In many cases, including cases with good conductors (but not superconductors) Ampère's Law can be neglected and a simpler solution based solely in Faraday's law can be obtained. The integral form of Faraday's Law along any loop in the conducting body is equivalent to a Kirkhhoff's voltage law of a circuit. Therefore, a numerical solution can be obtained by solving a linear system of equations corresponding to a discrete number of loops in the body.
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June 2018
PAPERS|
June 01 2018
On Faraday's law in the presence of extended conductors
Luis Bilbao
Luis Bilbao
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina and INFIP
, Conicet, Buenos Aires, 1429 Argentina
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Am. J. Phys. 86, 422–429 (2018)
Article history
Received:
October 20 2017
Accepted:
March 14 2018
Citation
Luis Bilbao; On Faraday's law in the presence of extended conductors. Am. J. Phys. 1 June 2018; 86 (6): 422–429. https://doi.org/10.1119/1.5034445
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