An example illustrating the potentiality and peculiarities of a variational approach to electrostatic problems

The advantages and peculiarities of the variational method of solving electrostatic problems are clearly illustrated using the ground resistance as a relatively simple example.

PACS: 03.50.De, 41.20.Cv (all)
DOI: 10.1070/PU2002v045n03ABEH001007
URL: https://ufn.ru/en/articles/2002/3/c/
Web of Science

000176867200003
Citation: Kazantsev V P "An example illustrating the potentiality and peculiarities of a variational approach to electrostatic problems" Phys. Usp. 45 325–330 (2002)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Казанцев В П «Пример, демонстрирующий возможности и особенности вариационного подхода к задачам электростатики» УФН 172 357–362 (2002); DOI: 10.3367/UFNr.0172.200203g.0357

References (15) Cited by (2) Similar articles (20) ↓

V.P. Kazantsev, O.A. Zolotov et al “Interaction energy of point electric multipoles” Phys. Usp. 68 843–849 (2025)
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)
G.N. Gaidukov, I.N. Gorbatyy “Electromagnetic analogies in electro- and magnetostatics problems” Phys. Usp. 62 413–420 (2019)
B.M. Bolotovskii, A.V. Serov “Features of the transition radiation field” Phys. Usp. 52 487–493 (2009)
I.N. Toptygin, G.D. Fleishman “Eigenmode generation by a given current in anisotropic and gyrotropic media” Phys. Usp. 51 363–374 (2008)
M.L. Martinson, A.V. Nedospasov “On the charge density inside a conductor carrying a current” Phys. Usp. 36 (1) 23–24 (1993)
M.A. Miller “Charge and current electrostatics. Nonstationary sources of static fields” Sov. Phys. Usp. 27 69–75 (1984)
V.A. Saranin “Electrostatic oscillators” Phys. Usp. 55 700–708 (2012)
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)
V.G. Niz’ev “Dipole-wave theory of electromagnetic diffraction” Phys. Usp. 45 553–559 (2002)
V.A. Saranin “On the interaction of two electrically charged conducting balls” Phys. Usp. 42 385–390 (1999)
Yu.S. Barash, V.L. Ginzburg “Expressions for the energy density and evolved heat in the electrodynamics of a dispersive and absorptive medium” Sov. Phys. Usp. 19 263–270 (1976)
V.S. Malyshevsky “Is it possible to measure the electromagnetic radiation of an instantly started charge?” Phys. Usp. 60 1294–1301 (2017)
I.Ya. Brusin “A topological approach to the determination of macroscopic field vectors” Sov. Phys. Usp. 30 60–63 (1987)
L.N. Kaptsov “Lecture demonstration of ponderomotive forces in electrostatics with the aid of a soap film” Sov. Phys. Usp. 6 324–324 (1963)
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)
A.M. Dykhne, A.A. Snarskii, M.I. Zhenirovskii “Stability and chaos in randomly inhomogeneous two-dimensional media and LC circuits” Phys. Usp. 47 821–828 (2004)
D.A. Kirzhnits “Are the Kramers-Kronig relations for the dielectric permittivity of a material always valid?” Sov. Phys. Usp. 19 530–537 (1976)
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)
V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction medium” Phys. Usp. 52 649–654 (2009)

The list is formed automatically.