Comparison of Ampere's circuital law (ACL) and the law of Biot-Savart (LBS)

Kalhor, H. A.

doi:10.1109/13.2322

Cited by 18 publications

(10 citation statements)

References 1 publication

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“…By contrast to approach 1, approach 2 has been extensively used for a finite length straight wire, e.g. [2,3,7,9,[14][15][16][17]. The two approaches are next applied to a volume distribution which approximates a thin arbitrarily shaped wire.…”

Section: Application To the Arbitrarily Shaped Finite Wire Problemmentioning

confidence: 99%

The magnetic field circulation counterpart to Biot-Savart’s law

Ferreira

Anacleto

2018

Eur. Phys. J. Plus

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The circulation, around an arbitrarily shaped loop, of the magnetic field generated by the flow of a volume distribution of current through a conducting medium is derived, in the zero retarded-time limit, using the Biot-Savart law. This circulation formula is validated for the particular case where the conducting medium is a finite length of arbitrarily shaped wire, and the distinction between the resulting expression and one obtained from the magnetic scalar potential is highlighted.

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Section: Application To the Arbitrarily Shaped Finite Wire Problemmentioning

confidence: 99%

The magnetic field circulation counterpart to Biot-Savart’s law

Ferreira

Anacleto

2018

Eur. Phys. J. Plus

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“…When introducing ACL to students, issues often arise regarding its application to specific situations [6][7][8][9]. For instance, let us consider the problem of determining the magnetic field, B, due to a current-carrying finite segment XY at point P a distance r from it (Fig.…”

Section: Limitations Of Aclmentioning

confidence: 99%

Intrinsic symmetry of Ampère’s circuital law and other educational issues

2012

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This paper explores Ampère's circuital law (ACL) from an educational perspective. The interchangeability of the ampèrian loop with the current loop, an intrinsic symmetry of ACL that is seldom addressed in the literature or textbooks, is illustrated here. It is verified that the symmetry axis of a circular current is an ampèrian loop. The attempt to apply ACL to a finite wire, a common source of student misunderstanding, is used to highlight the limitations of ACL. The generalisation of ACL is illustrated using an instructive example where the displacement current is unconfined and not spatially uniform. This work is primarily intended for teachers and more advanced undergraduate students, who may benefit from the ideas that are presented here.PACS Nos: 03.50. De, 01.40.Fk Résumé : Nous réétudions ici le théorème d'Ampère, dans une perspective pédagogique. Nous illustrons l'interchangeabilité de la boucle d'Ampère et la boucle de courant, une symétrie intrinsèque du théorème qui est rarement discutée dans la litté-rature ou les manuels. Nous vérifions que l'axe de symétrie d'un courant circulaire est une boucle d'Ampère. Afin d'illustrer les limitations du théorème, nous utilisons l'application du théorème à un fil de longueur finie, une source fréquente de malentendus chez les étudiants. Nous illustrons la généralisation du théorème d'Ampère à l'aide d'un exemple pédagogique où le courant de déplacement n'est pas confiné ni spatialement uniforme. Ce travail vise surtout les enseignants et les étudiants des 2 e et 3 e cycles qui peuvent profiter des idées présentées ici.[Traduit par la Rédaction]

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“…To obtain partial inductance, magnetic vector potential A generated by each conductor segment needs to be calculated at first. Kalhor's study [7] showed that two charges accumulating with time need to be placed at both ends of a conductor, which generate displacement current in space, to meet Ampere's circuital law (ACL) in incomplete loop. Kalhor [8] pointed out that Biot-Savart's Law is still applicable in this situation, but effect on A is not analyzed.…”

Section: Introductionmentioning

confidence: 99%

Inductance extraction of Press-Pack IGBT by Considering Displacement Current

Chen

Zhang

et al. 2018

E3S Web Conf.

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Taking the displacement current generated by charges accumulation into consideration, this paper presents a inductance extraction method for press-pack IGBT where conductor might not form a closed loop in simulation. Charge accumulating on ends of conductor is considered and then Ampere’s circuital law (ACL) could be meet. Vector potential A also could be affected by displacement current, which leads to a different formulation of partial inductance. A simplified model based on practical structure are used in numerical experiment for comparison between existing method and proposed method.

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Comparison of Ampere's circuital law (ACL) and the law of Biot-Savart (LBS)

Cited by 18 publications

References 1 publication

The magnetic field circulation counterpart to Biot-Savart’s law

The magnetic field circulation counterpart to Biot-Savart’s law

Intrinsic symmetry of Ampère’s circuital law and other educational issues

Inductance extraction of Press-Pack IGBT by Considering Displacement Current

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