Proof of superposition theorem for linear circuits

[Bipolarity]

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

BiP

 

[SteamKing]

Try this paper on for size:

http://users.ece.gatech.edu/mleach/papers/superpos.pdf

 

[f95toli]

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

 

[Bipolarity]

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

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

 

[the_emi_guy]

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

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