# Proof of superposition theorem for linear circuits

1. Nov 1, 2013

### Bipolarity

Can someone link me/explain to me the proof of this theorem? I can't seem to find it online. Thanks!!

BiP

2. Nov 1, 2013

### SteamKing

Staff Emeritus
3. Nov 1, 2013

### f95toli

This is just part of the definition of a linear circuit: any circuit for which superposoption does NOT apply is nonlinear

4. Nov 1, 2013

### Bipolarity

So how does one prove that the superposition theorem applies in a circuit containing only resistors, capacitors, inductors, and independent/dependent voltage/current sources?

BiP

5. Nov 1, 2013

### the_emi_guy

Perhaps start by demonstrating superposition for the individual components based on their transfer functions?

$$I_{total} = C\frac{d(v1+v2)}{dt} = C\frac{dv1}{dt} + C\frac{dv2}{dt}$$