Selected ideas of the theory of non-linear electrical circuits

In this paper an outline of the development of methods for the analysis of non-linear circuits is presented Non-inert and inert elements have been dis cerned and an inertia measure has been proposed. For this purpose, an expon ential function with time constant T equal to T-R, T-L, or T-C is formulate d for an element of type R, L, or C, respectively. In circuits with the imp osed cause, which varies sinusoidally in time with period T-e, the followin g situations are distinguished and considered T-e much greater than T; T-e much less than T; and T-e approximate to T. In the first case, the effect c hanges in time according to the nan-linear characteristic of the element. I n the second case, the respective circuit is referred to as the "quasi-line ar", because for the sinusoidal cause the effect is also sinusoidal. In the third case, the hysteresis occurs and the effect is a two-valued function. The hysteresis effect occurs also in resistive elements.