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Proof of superposition theorem for linear circuits

  1. Nov 1, 2013 #1
    Can someone link me/explain to me the proof of this theorem? I can't seem to find it online. Thanks!!

    BiP
     
  2. jcsd
  3. Nov 1, 2013 #2

    SteamKing

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  4. Nov 1, 2013 #3

    f95toli

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    This is just part of the definition of a linear circuit: any circuit for which superposoption does NOT apply is nonlinear
     
  5. Nov 1, 2013 #4
    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
     
  6. Nov 1, 2013 #5
    Perhaps start by demonstrating superposition for the individual components based on their transfer functions?

    [tex] I_{total} = C\frac{d(v1+v2)}{dt} = C\frac{dv1}{dt} + C\frac{dv2}{dt} [/tex]
     
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