×

Error analysis and Hertz vector approach for an electromagnetic interaction between a line current and a conducting plate. (English) Zbl 1015.78007

Summary: In the present paper we first introduce the Hertz vector potential and examine how the specific case of electromagnetic field diffusion problems can be formulated in terms of this potential. Its connection to other commonly used potentials is presented and a basic approach in the form of a suitable set of equations is introduced. The suggested method is then successfully applied to solve the case of an electromagnetic interaction between a straight conductor carrying sinusoidal current and a finite thickness fixed plate. Due to the oscillatory aspect of the integral solution obtained, an appropriate numerical treatment is investigated and various curves are shown to illustrate the convergence behaviour.

MSC:

78A25 Electromagnetic theory (general)
78M25 Numerical methods in optics (MSC2010)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Electromagnetic Theory. McGraw-Hill: New York, 1941.
[2] Static and Dynamic Electricity. McGraw-Hill: New York, 1950.
[3] Classical Electricity and Magnetism. Addison-Wesley: USA, 1977.
[4] Eddy Currents in Linear Conducting Media. Elsevier: New York, 1985.
[5] The Analysis of Eddy Currents. Clarendon Press: Oxford, 1974.
[6] The Fourier Integral and its Applications. McGraw-Hill: New York, 1962.
[7] Electromagnetic Induction Phenomena. Springer: New York, 1986.
[8] Poritsky, AIEE Transactions 73 pp 97– (1954)
[9] Koppikar, IEE Proceedings-Scientific Measurement Technology 144 pp 34– (1977)
[10] Patterson, Numerische Mathematik 27 pp 41– (1976)
[11] Méthodes et techniques de l’analyse numérique. Dunod: Paris, 1971.
[12] Sargos, Revue de Physique Appliquee 23 pp 1397– (1988)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.