Abstract
It is shown that the variational formulation of electrostatics provides great opportunities in the solution of problems for the use of the method of generalized coordinates whose properties and effectiveness are demonstrated with an example. It is shown that the Thomsom variational principle, which is usually considered independently, is a consequence of the Dirichlet principle, and its formulation as a result is more convenient for the solution of practical problems.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 100–104, August, 1984.
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Kazantsev, V.P. Variational estimates in electrostatics. Method of generalized coordinates. Soviet Physics Journal 27, 712–715 (1984). https://doi.org/10.1007/BF00893121
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DOI: https://doi.org/10.1007/BF00893121