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Variational estimates in electrostatics. Capacitance of a plane capacitor

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Abstract

Simple variational inequalities for the capacitance of a plane capacitor, which demonstrate the effectiveness of the variational approach to problems of electrostatics which are usually explained only quantitatively, can be proven completely rigorously and simply with the variational inequalities.

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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 96–99, August, 1984.

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Kazantsev, V.P. Variational estimates in electrostatics. Capacitance of a plane capacitor. Soviet Physics Journal 27, 709–712 (1984). https://doi.org/10.1007/BF00893120

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Keywords

  • Variational Inequality
  • Variational Estimate
  • Variational Approach
  • Plane Capacitor