Artículo
Abstract:
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. © 2018 American Association of Physics Teachers.
Registro:
| Documento: | Artículo |
| Título: | On Faraday's law in the presence of extended conductors |
| Autor: | Bilbao, L. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina INFIP, Conicet, Buenos Aires, 1429, Argentina |
| Año: | 2018 |
| Volumen: | 86 |
| Número: | 6 |
| Página de inicio: | 422 |
| Página de fin: | 429 |
| DOI: | http://dx.doi.org/10.1119/1.5034445 |
| Título revista: | American Journal of Physics |
| Título revista abreviado: | Am. J. Phys. |
| ISSN: | 00029505 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029505_v86_n6_p422_Bilbao |
Referencias:
- Smith, G.S., Faraday's first dynamo: A retrospective (2013) Am. J. Phys., 81 (12), pp. 907-917
- Smythe, W.R., On eddy currents in a rotating disk (1942) Trans. Am. Inst. Electr. Eng., 61 (9), pp. 681-684
- Redinz, J.A., Faraday's first dynamo: An alternate analysis (2015) Am. J. Phys., 83 (2), pp. 179-182
- Weigel, C., Wachter, J.M., Wagoner, P., Atherton, T.J., Predicting the influence of plate geometry on the eddy-current pendulum (2016) Am. J. Phys., 84 (9), pp. 653-663
- Saslow, W.M., Maxwell's theory of eddy currents in thin conducting sheets, and applications to electromagnetic shielding and maglev (1992) Am. J. Phys., 60 (8), pp. 693-711. , (Oxford, UK)
- Krawczyk, A., Tegopoulos, J.A., (1995) Numerical Modelling of Eddy Currents, , (Chapman & Hall, London, UK)
- Ida, N., (1994) Numerical Modeling for Electromagnetic Non-destructive Evaluation, 1. , vol. (Springer Science & Business Media, Boston, MA)
- Taflove, A., Hagness, S.C., (2005) Computational Electrodynamics: The Finite-Difference Time-Domain Method, , (Artech house, New York)
- Jackson, J.D., (1998) Classical Electrodynamics, , (John Wiley & Sons, Inc)
- Johns, P.B., Beurle, R.L., Numerical solution of 2-dimensional scattering problems using a transmission-line matrix (1971) Proceedings of the Institution of Electrical Engineers, IET, 118, pp. 1203-1208. , (Oxford, UK)
- Landau, L.D., Lifshitz, E.M., Fluid mechanics (1987) Course of Theoretical Physics, 6. , 2nd ed.,(Butterworth-Heinemann)
- Wiederick, H.D., Gauthier, N., Campbell, D.A., Rochon, P., Magnetic braking: Simple theory and experiment (1987) Am. J. Phys., 55 (6), pp. 500-503
- Heald, M.A., Magnetic braking: Improved theory (1988) Am. J. Phys., 56 (6), pp. 521-522
Citas:
---------- APA ----------
(2018) . On Faraday's law in the presence of extended conductors. American Journal of Physics, 86(6), 422-429.http://dx.doi.org/10.1119/1.5034445
---------- CHICAGO ----------
Bilbao, L. "On Faraday's law in the presence of extended conductors" . American Journal of Physics 86, no. 6 (2018) : 422-429.http://dx.doi.org/10.1119/1.5034445
---------- MLA ----------
Bilbao, L. "On Faraday's law in the presence of extended conductors" . American Journal of Physics, vol. 86, no. 6, 2018, pp. 422-429.http://dx.doi.org/10.1119/1.5034445
---------- VANCOUVER ----------
Bilbao, L. On Faraday's law in the presence of extended conductors. Am. J. Phys. 2018;86(6):422-429.http://dx.doi.org/10.1119/1.5034445
