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Journal Electromagnetic Waves and Electronic Systems №2 for 2018 г.
Article in number:
Application of Gibbs variational principle and Lagrange multiplier method to problems of electrostatics. Part 2. General conditions of equilibrium
Type of article: scientific article
UDC: 517.9:537.2
Keywords: equilibrium conditions mechanical equilibrium electric equilibrium dielectric conductor Gibbs principle variational principles.
Authors:

I.N. Aliev – Dr.Sc.(Phys.-Math.), Professor, Department «Physics», Bauman Moscow State Technical University

Z.A. Samedova – Post-graduate Student, Lecturer, Department «Physics», Bauman Moscow State Technical University

Abstract:

This work is a continuation of the study, in which the analysis of the calculation of the energy of the electrostatic field and its variation was carried out. Using the Gibbs variational principle and the method of Lagrange multipliers for the problem, general equilibrium conditions were derived. In addition, the paper describes the equilibrium of liquid and solid dielectrics with frozen charges, as well as the equilibrium of liquid and solid conductors.

Pages: 32-39
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Date of receipt: 3 октября 2017 г.