Thevenin/Norton Resistance

The elements of the linear circuit shown above have the following values:

  • Resistors: R 1 = 1.2 k Ω R_1=1.2 \text{ k}\Omega , R 2 = 4.7 k Ω R_2=4.7 \text{ k}\Omega and R 3 = 3.3 k Ω R_3=3.3 \text{ k} \Omega
  • Independent voltage sources: V 1 = 12 V V_1=12 \text{ V}
  • Independent current sources: M 1 = 3 mA M_1=3 \text{ mA}

Calculate the Thevenin equivalent resistance (in k Ω \text{k} \Omega ) between the circular nodes. Round off your answer to three decimal places.


The answer is 4.256.

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1 solution

Grant Bulaong
Aug 7, 2016

To calculate the Thevenin/Norton equivalent resistance, we "switch off" all independent sources (i.e. replace all voltage sources with a short circuit and replace all current sources with an open circuit) then calculate the resistance seen from the port.

With all independent sources set to zero, we are left with the following network: Between the two nodes, the resistance is R 1 R 2 + R 3 = 4.25593220338983... R_1||R_2+R_3=\boxed{4.25593220338983...}

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