Impedanz und Lagrange-Funktion linearer dissipativer Systeme

Abstract

A simple proof is given for the theorem, that the difference of electrical and magnetic energies is the same for equivalent 2n-terminal networks, to which the same electromotive forces are applied. For this difference, called the Lagrange function, an explicit expression in terms of the admittance matrix, is given. An analogous theorem is proved in the thermodynamic theory of relaxation phenomena and an extension is given to the case of general linear dissipative systems.