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Methodological notes


Electromagnetic analogies in electro- and magnetostatics problems

,
Moscow State Institute of Electronic Technology (Technical University), Zelenograd, Moscow, Russian Federation

A relation underlying the electromagnetic analogy method has been derived from the Biot€--€Savart and Coulomb laws: the magnetic field B generated by a current I in a closed conducting loop L and the electric field E of a thin double charged layer of the area S bounded by the same loop L are linked by the formula: B=($\epsilon_0\mu _0I/p_{1e}$), E, where $p_{1e}$ is the electric moment per unit area S and $\epsilon_0\mu _0$ are permittivity and permeability of free space. Examples are given where this electromagnetic analogy may be used for solving a number of electro- and magnetostatics problems.

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Fulltext is also available at DOI: 10.3367/UFNe.2018.03.038303
Keywords: electrostatics, magnetostatics, electric dipole, magnetic dipole, capacitance, inductance
PACS: 03.50.De, 41.20.Cv, 41.20.Gz (all)
DOI: 10.3367/UFNe.2018.03.038303
URL: https://ufn.ru/en/articles/2019/4/g/
000472874200007
2-s2.0-85072527341
2019PhyU...62..413G
Citation: Gaidukov G N, Gorbatyy I N "Electromagnetic analogies in electro- and magnetostatics problems" Phys. Usp. 62 413–420 (2019)
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Received: 6th, November 2017, revised: 27th, February 2018, 6th, March 2018

Оригинал: Гайдуков Г Н, Горбатый И Н «Электромагнитные аналогии в задачах электро- и магнитостатики» УФН 189 441–448 (2019); DOI: 10.3367/UFNr.2018.03.038303

References (16) Similar articles (20) ↓

  1. M.Ya. Agre “Multipole expansions in magnetostatics” Phys. Usp. 54 167–180 (2011)
  2. V.P. Kazantsev “An example illustrating the potentiality and peculiarities of a variational approach to electrostatic problems” Phys. Usp. 45 325–330 (2002)
  3. G.N. Gaidukov, A.A. Abramov “An interpretation of the energy conservation law for a point charge moving in a uniform electric field” Phys. Usp. 51 163–166 (2008)
  4. S.F. Garanin, S.D. Kuznetsov “Irrotational flow (of a magnetic field or incompressible fluid) around a screen with a slot” Phys. Usp. 63 1037–1042 (2020)
  5. R.Z. Muratov “Some useful correspondences in classical magnetostatics, and the multipole representations of the magnetic potential of an ellipsoid” Phys. Usp. 55 919–928 (2012)
  6. V.S. Malyshevsky “Is it possible to measure the electromagnetic radiation of an instantly started charge?” Phys. Usp. 60 1294–1301 (2017)
  7. A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic media” Phys. Usp. 54 145–165 (2011)
  8. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting plate” Phys. Usp. 53 595–609 (2010)
  9. V.A. Saranin “Electric field strength of charged conducting balls and the breakdown of the air gap between them” Phys. Usp. 45 1287–1292 (2002)
  10. B.M. Bolotovskii, A.V. Serov “Details of the motion of charged nonrelativistic particles in a variable field” Phys. Usp. 37 515–516 (1994)
  11. Kh.M. Karakhanova, L.M. Kovyazin, V.A. Trofimov “Demonstration of the law of electromagnetic induction” Sov. Phys. Usp. 33 (3) 253–254 (1990)
  12. I.M. Frank “On the moments of a magnetic dipole moving in a medium” Sov. Phys. Usp. 32 456–458 (1989)
  13. S.G. Arutyunyan “Electromagnetic field lines of a point charge moving arbitrarily in vacuum” Sov. Phys. Usp. 29 1053–1057 (1986)
  14. E.H. Lock, S.V. Gerus “Electromagnetic waves in tangentially magnetized bi-gyrotropic layer (with an example of analysis of spin wave characteristics in a ferrite plate)” Phys. Usp., accepted
  15. V.P. Makarov, A.A. Rukhadze “Material equations and Maxwell equations for isotropic media; waves with negative group velocity and negative values of ε (ω) and μ (ω)” Phys. Usp. 62 487–495 (2019)
  16. Yu.A. Spirichev “On choosing the energy—momentum tensor in electrodynamics and on the Abraham force” Phys. Usp. 61 303–306 (2018)
  17. I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive media” Phys. Usp. 59 141–152 (2016)
  18. V.S. Beskin, A.A. Zheltoukhov “On the anomalous torque applied to a rotating magnetized sphere in a vacuum” Phys. Usp. 57 799–806 (2014)
  19. A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structures” Phys. Usp. 54 281–290 (2011)
  20. V.A. Saranin, V.V. Mayer “Interaction of two charged conducting balls: theory and experiment” Phys. Usp. 53 1067–1074 (2010)

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