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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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
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 magnetostatics54 167–180 (2011)
  2. V.P. Kazantsev “An example illustrating the potentiality and peculiarities of a variational approach to electrostatic problems45 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 field51 163–166 (2008)
  4. S.F. Garanin, S.D. Kuznetsov “Irrotational flow (of a magnetic field or incompressible fluid) around a screen with a slot63 1037–1042 (2020)
  5. R.Z. Muratov “Some useful correspondences in classical magnetostatics, and the multipole representations of the magnetic potential of an ellipsoid55 919–928 (2012)
  6. V.S. Malyshevsky “Is it possible to measure the electromagnetic radiation of an instantly started charge?60 1294–1301 (2017)
  7. A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic media54 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 plate53 595–609 (2010)
  9. V.A. Saranin “Electric field strength of charged conducting balls and the breakdown of the air gap between them45 1287–1292 (2002)
  10. B.M. Bolotovskii, A.V. Serov “Details of the motion of charged nonrelativistic particles in a variable field37 515–516 (1994)
  11. Kh.M. Karakhanova, L.M. Kovyazin, V.A. Trofimov “Demonstration of the law of electromagnetic induction33 (3) 253–254 (1990)
  12. A.M. Dykhne, G.L. Yudin “Stimulated effects upon ’jarring’ of an electron in an external electromagnetic field20 80–86 (1977)
  13. 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)62 487–495 (2019)
  14. Yu.A. Spirichev “On choosing the energy—momentum tensor in electrodynamics and on the Abraham force61 303–306 (2018)
  15. I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive media59 141–152 (2016)
  16. V.S. Beskin, A.A. Zheltoukhov “On the anomalous torque applied to a rotating magnetized sphere in a vacuum57 799–806 (2014)
  17. A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structures54 281–290 (2011)
  18. V.A. Saranin, V.V. Mayer “Interaction of two charged conducting balls: theory and experiment53 1067–1074 (2010)
  19. B.M. Bolotovskii, A.V. Serov “Features of the transition radiation field52 487–493 (2009)
  20. V.P. Makarov, A.A. Rukhadze “Force acting on a substance in an electromagnetic field52 937–943 (2009)

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