Norton equivalent with dependent source

norton

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The figure above illustrates a circuit with VCVS and its Norton equivalent model as seen from Port B. Given that Vo=5V,A=2,R1=1Ω,R2=3Ω,R3=5Ω, determine the Norton current IN and Norton resistance RN

Attempts:
I calculated Vout=7.857 V; u=5.714 V. I don't know how to calculate the Norton resistance, since the dependent source 2u cannot be suppressed to calculate the resistance looking from the output.

Best Answer

One way to find the Norton (or Thevenin) Eq. is to determine the short circuit current \$i_{SC}\$ and the open circuit voltage \$v_{OS}\$ of your circuit.

I.e. you have to analyze following two variants of your circuit:

  • With a short between the terminals, find the current that is going through the short and
  • with the terimals open, find the voltage across the terminals.

The Norton (or Thevenin) resistance then is \$R_N = R_{Th} = v_{OC} / i_{SC}\$.
The Norton current source value is \$i_N = i_{SC}\$.
(The Thevenin voltage source value would be \$v_{Th} = v_{OC}\$)