Minimum dissipated power and energy - Two general principles of the linear electric and magnetic circuits in quasi-stationary regime

The use of the variational formulation of power and energy functionals in the analysis of electric and magnetic circuits makes it possible to appreciate the equilibrium state attained in the circuit at a certain moment. In the present work, a power and energy functional is built for electric and magnetic circuits in static, stationary and quasi-stationary conditions, and its limit is determined. It is shown that the minimum of this functional corresponds to the minimum dissipated (absorbed) power and energy in the circuit. Some applications to electric circuits and magnetic are shown.