Sure. Show that both approaches yield the same result for an arbitrary linear circuit.There are two ways to calculate Rth.
1. Thevenin resistance R is the resistance seen at AB with all voltage sources replaced by short circuits and all current sources replaced by open circuits.
2. Rth = Uoc/Isc
Where: Uoc : open circuit voltage
Isc : short circuit current
Are there ways to prove these statements and prove that two ways are equivalent?
I have tried with many specific circuits and they give the same result. However, is there a general way to prove it?Sure. Show that both approaches yield the same result for an arbitrary linear circuit.
Yeah, I was sidestepping that issue, at least for now.One needs to be careful when applying method 1 if there are dependent sources in the mix.
Normally you do it in a few steps. The first step is to show that, for any linear circuit, that the voltage and current at any particular point is a linear superposition of the voltages and currents due to each of the independent supplies taken separately.I have tried with many specific circuits and they give the same result. However, is there a general way to prove it?