Maxwell, Displacement Current, and Symmetry

Bork, Alfred

doi:10.1119/1.1969140

Cited by 28 publications

(16 citation statements)

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“…A review of some of the secondary literature [36,37,38,39,40,41,42] found no mention of charge conserving alternatives to Maxwell's displacement current, though it is reported that some of Maxwell's distinguished contemporaries simply did not accept it. Further, in gracious replies to this writer's queries, Prof. J.Z.…”

Section: History Of Some Related Mattersmentioning

confidence: 99%

On a charge conserving alternative to Maxwell’s displacement current

Wolsky

2015

Eur. J. Phys.

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Though sufficient for local conservation of charge, we show that Maxwell's displacement current is not necessary. An alternative to the Ampere-Maxwell equation is exhibited and the alternative's electric and magnetic fields and scalar and vector potentials are expressed in terms of the charge and current densities. The alternative describes a theory in which action is instantaneous and so may provide a good approximation to Maxwell's equations where and when the finite speed of light can be neglected. The result is reminiscent of the Darwin approximation which arose from the study classical charged point particles to order (v/c) 2 in the Lagrangian. Unlike Darwin, this approach does not depend on the constitution of the electric current. Instead, this approach grows from a straightforward revision of the Ampere Equation that enforces the local conservation of charge. 41.20 Cv, 41.20 Gz

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Section: History Of Some Related Mattersmentioning

confidence: 99%

On a charge conserving alternative to Maxwell’s displacement current

Wolsky

2015

Eur. J. Phys.

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“…Otros plantean alguna alternativa para desarrollar el tema en el aula (Terry, 1981), y otros estudian el desarrollo histórico del concepto (Bork, 1963;Siegel, 1991). La revisión bibliográfica llevada a cabo muestra una escasez de artículos que analicen en profundidad los problemas de aprendizaje relacionados con este tema.…”

Section: Marco Teórico Y Problema De La In-vestigaciónunclassified

Corriente de desplazamiento : su presentación en textos y su comprensión por parte de los estudiantes

Pocoví¹,

Hoyos²

2011

ensciencias

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Resumen. Se presenta un estudio de caso genérico (Merriam, 1998) que consta de dos partes. En la primera, se analiza la presentación de la corriente de desplazamiento en los textos de electromagnetismo de nivel universitario básico. El protocolo de análisis se elaboró desde el marco teórico de Alexander y Kulikowich (1994). Los resultados muestran que, en muchos textos: a) la traducción del sistema simbólico al lingüístico es escueta o imprecisa, b) la igualdad entre la corriente de desplazamiento y la de conducción se plantea sin aclarar su validez y c) algunos ejemplos plantean un campo eléctrico que varía linealmente con el tiempo, situación que no se estudia previamente en los libros de este nivel. La segunda parte analiza la comprensión que alumnos universitarios avanzados logran acerca de la corriente de desplazamiento a partir de los textos. Se concluye que existen graves deficiencias en la interpretación de las lecturas seleccionadas.Palabras clave. Corriente de desplazamiento, comprensión de textos, alumnos avanzados. Displacement Current: its presentation in textbooks and students̓ understanding of itSummary. A generic case study as that defined by (Merriam, 1998) is presented here. In the first part of the work, an analysis of how college-level textbooks address the concept of displacement current was carried out. The analysis was guided by Alexander's and Kulikowich's (1994). The results show that in most textbooks: a) the translation between the symbolic and the linguistic system is very limited or not sufficiently precise, b) when the equality between the Displacement Current and the Conduction Current is set, its validity is not stated, and c) some examples of work with an electric field that has a linear variation in time while this case has not been previously treated. The second part of this work deals with the understanding that college students acquire about Displacement Current from different textbooks. This work shows that serious deficiencies can be detected in their interpretation of the selected texts.

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“…[15][16][17] However, in these, the model corresponds to well defined D and H, in-effect also demanding they are measureable, when in fact this is not necessary. [18][19][20][21][22][23][24] To avoid this unnecessary assumption, an alternative approach based purely on the physically measurable fields E and B was developed, [12] and this is what we use here.…”

Section: Introductionmentioning

confidence: 99%

Temporary Singularities and Axions: An Analytic Solution that Challenges Charge Conservation

2021

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An analytic solution for electromagnetic fields interacting with an axion field that violates global charge conservation is constructed. Despite providing a specific example where "physics breaks down" at a singularity, it nevertheless demonstrates that the physical laws on the surrounding spacetime still impose constraints on what is allowed to happen. The construction is valid for a spacetime containing a temporary singularity and a Maxwellian electrodynamics containing a proposed "topological" axion field. Further, the concepts of transformation optics can be applied to show that our specific mathematical solution has a much wider applicability.

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Maxwell, Displacement Current, and Symmetry

Cited by 28 publications

References 0 publications

On a charge conserving alternative to Maxwell’s displacement current

On a charge conserving alternative to Maxwell’s displacement current

Corriente de desplazamiento : su presentación en textos y su comprensión por parte de los estudiantes

Temporary Singularities and Axions: An Analytic Solution that Challenges Charge Conservation

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