Maxwell and the displacement current

Chalmers, Alan F.

doi:10.1088/0031-9120/10/1/011

Cited by 12 publications

(5 citation statements)

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“…Para comprender adecuadamente este resultado debemos retrotraernos a los primeros trabajos de Maxwell. La corriente de desplazamiento fue introducida por primera vez por James Clerk Maxwell en "On Physical Lines of Force" publicado en 1861, donde logró desarrollar una teoría electromagnética basado en un modelo mecánico del éter [35,36]. Gracias a la introducción de esta contribución obtuvo una versión de la ecuación de continuidad similar a la utilizada actualmente [37, p 496].…”

Section: El Caso De La Corriente De Desplazamientounclassified

“…[37, p 554]. De este fragmento se desprenden dos conclusiones fundamentales, por un lado, que en A Dynamical Theory of the Electromagnetic Field Maxwell considera a la corriente de desplazamiento como otro tipo de corriente que aporta a la corriente total [35,38] y por otro, que, el desplazamiento eléctrico era para él, lo que para nosotros es hoy el vector polarización [40].…”

Section: El Caso De La Corriente De Desplazamientounclassified

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Las relaciones causa-efecto en las ecuaciones de Maxwell y sus implicancias en la enseñanza del electromagnetismo en los cursos introductorios de Física

Suárez

Martí

Zuza

et al. 2022

Rev. Bras. Ensino Fís.

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Un tratamiento superficial de las ecuaciones de Maxwell puede llevar a interpretar la existencia de una relación causal entre los diferentes términos y, por ende, que un campo eléctrico variable en el tiempo genera un magnético y viceversa. En este artículo abordamos los problemas asociados a dichas interpretaciones y sus consecuencias para la enseñanza de la física en cursos introductorios de física universitaria. Primero desarrollamos los principales argumentos que sustentan que las densidades de carga y de corriente, constantes o variables en el tiempo son las generadoras de los campos eléctricos y magnéticos. Proponemos luego una serie de ejemplos a nivel de cursos introductorios que nos permiten discutir las razones por las cuales considerar los campos eléctrico y magnético como entidades disjuntas conduce a contradicciones. Finalmente, analizamos sus implicaciones en la enseñanza de la física.

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Section: El Caso De La Corriente De Desplazamientounclassified

Las relaciones causa-efecto en las ecuaciones de Maxwell y sus implicancias en la enseñanza del electromagnetismo en los cursos introductorios de Física

Suárez

Martí

Zuza

et al. 2022

Rev. Bras. Ensino Fís.

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“…[45]. Two fundamental conclusions can be drawn from this fragment: on the one hand, that in "A Dynamical Theory of the Electromagnetic Field" Maxwell considers the displacement current as another type of current that contributes to the total current [42,46] and, on the other hand, that the electric displacement was for him what the polarization vector is for us today. [47] In 1873, Maxwell published his main work, "A Treatise on Electricity and Magnetism", in which he presents in detail the whole electromagnetic theory.…”

Section: The Case Of the Displacement Currentmentioning

confidence: 99%

Unified approach to the electromagnetic field: the role of sources, causality and wave propagation

Suárez¹,

Martı́²,

Zuza³

et al. 2022

Preprint

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The question of the sources of electric and magnetic fields and their causes has been discussed extensively in the literature over the last 50 years. In this article, we approach this problem from the unified treatment of electromagnetic fields emphasizing the role of their sources in accordance with the cause-effect relationships. First, we analyze whether this unified treatment contributes to a better understanding of these phenomena. Then, we discuss the implications for teaching of a correct understanding of electromagnetic field sources and causality in Maxwell's equations. In particular, we present a series of examples at the introductory physics level that allow us to recognize the reasons why considering electric and magnetic fields as disjoint entities can lead to contradictions.

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“…It is a commonplace that Maxwellian electrodynamics was a stage of the Faraday program advancement based on the field concept (see, for instance,Chalmers, 1975 and references cited therein). The latter had provided prediction and verification of startling electromagnetic waves phenomenon and have superseded at last the Ampere-Weber research program based on the action at a distance concept.…”

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confidence: 99%

Maxwell's Artful Entanglement of Optics and Electromagnetism and the Incommensurability Tenet

M.Nugayev,

Nugayev

2024

Preprint

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It is contended that one of the promising directions for brooding over the problem of incommensurability of paradigms, coined by T. Kuhn and P. Feyerabend, can be associated with the trend of advancement of neo-Kantian epistemology, embodied by the writings of Ernst Cassirer. According to Cassirer, the statements fixing connections and relationships between mathematical ideal constructs form a ’neutral language’ that can serve as a firm ground for comparing the ’old’ and ’new’ paradigms. A case study of the genesis and functioning of a neutral mathematical language related to the Maxwellian celebrated synthesis of optics and electromagnetism is provided. It is elicited that its basis is constituted by the mathematical language of continuum mechanics. The main function of the neutral language was to project the consequences of all the unified theories onto the mathematical model, ’rewrite’ all known laws in this mathematical language, compare their conclusions with each other to eliminate contradictions and generalize the stuff in a self-consistent system of equations.

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Maxwell and the displacement current

Abstract: Number of stamps Catalogue value (mint) 32 (i 2MS) E5.20~ 1 35P 1 85P 1 o f 2 45P 1 12P 2 55P 3 (;MS) 72P 1 O f 5 5P 6 (-MS) f 2. 0 5~ 1 of4 12P 6 (+MS) 80P Brain teaser

Cited by 12 publications

References 2 publications

Las relaciones causa-efecto en las ecuaciones de Maxwell y sus implicancias en la enseñanza del electromagnetismo en los cursos introductorios de Física

Las relaciones causa-efecto en las ecuaciones de Maxwell y sus implicancias en la enseñanza del electromagnetismo en los cursos introductorios de Física

Unified approach to the electromagnetic field: the role of sources, causality and wave propagation

Maxwell's Artful Entanglement of Optics and Electromagnetism and the Incommensurability Tenet

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