The interaction energy of electric multipoles in a plane and a point-multipole approximation for the electric field of conductors

V.P. Kazantsev^a, O.A. Zolotov, M.V. Dolgopolova
^aDepartment of Physics, Krasnoyarsk State University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russian Federation

A complex representation of the electric potential is applied to derive relationships describing the interaction energy of electric multipoles in a plane, which prove to be highly useful for variational calculations of the electric field in a system of parallel circular conductors.

PACS: 03.50.De, 41.20.Cv (all)
DOI: 10.1070/PU2006v049n05ABEH005844
URL: https://ufn.ru/en/articles/2006/5/d/
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000240400900004
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2-s2.0-33748529931
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2006PhyU...49..517K
Citation: Kazantsev V P, Zolotov O A, Dolgopolova M V "The interaction energy of electric multipoles in a plane and a point-multipole approximation for the electric field of conductors" Phys. Usp. 49 517–522 (2006)

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TY JOUR
TI The interaction energy of electric multipoles in a plane and a point-multipole approximation for the electric field of conductors
AU Kazantsev, V. P.
AU Zolotov, O. A.
AU Dolgopolova, M. V.
PB Physics-Uspekhi
PY 2006
JO Physics-Uspekhi
JF Physics-Uspekhi
JA Phys. Usp.
VL 49
IS 5
SP 517-522
UR https://ufn.ru/en/articles/2006/5/d/
ER https://doi.org/10.1070/PU2006v049n05ABEH005844

Оригинал: Казанцев В П, Золотов О А, Долгополова М В «Энергия взаимодействия электрических мультиполей на плоскости и аппроксимация электрического поля проводников полями точечных мультиполей» УФН 176 537–542 (2006); DOI: 10.3367/UFNr.0176.200605e.0537