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I want to simulate an AC circuit in multisim. I would like hints or articles on how to simulate complex-valued impedance, for example this circuit:

enter image description here

I don't have an option in multisim 12.0 , to have a complex-value for the inductance or capacitor, how can i do that? also for the analysis of this circuit to find \$V_o \$ im going with the superposition theorem: first im turning off the voltage-dependent source replacing it with a short-circuit, turining into this circuit :

enter image description here

so we have in the upper-most left mesh by KVL :

\$ -4V + \frac{V_A - V_B}{1j \Omega} + \frac{V_B - V_c}{1 \Omega} = 0 \$

I'm very confused on how to extract the two more equations to solve for to find \$V_o\$ for this first superposition.

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  • \$\begingroup\$ You can't simulate in AC analysis this circuit. You don't have a sinusoidal generator ... \$\endgroup\$
    – Antonio51
    Commented Nov 28, 2023 at 13:54
  • \$\begingroup\$ but we have a complex-valued inductance , no? @Antonio51 \$\endgroup\$
    – HellBoy
    Commented Nov 28, 2023 at 14:01
  • \$\begingroup\$ If the 4 V is a DC power supply ... and you will see what happens versus time after "wiring" it ... ok. But your inductor "j omega" does not say how it would behave versus "frequency" or perhaps omega = 2* pi * f with L=1 ? \$\endgroup\$
    – Antonio51
    Commented Nov 28, 2023 at 14:08
  • \$\begingroup\$ okey how can i analyse such circuitry? @Antonio51 \$\endgroup\$
    – HellBoy
    Commented Nov 28, 2023 at 14:11
  • \$\begingroup\$ Your equation is not true. How can we add voltages and currents ? \$\endgroup\$
    – Antonio51
    Commented Nov 28, 2023 at 14:44

1 Answer 1

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If "j * omega" ... is an inductance ...
And 4*V is a "step generator" ...
Then I could write these equations: Made with Maple ...
i1 (left-high loop), i2 (left low loop), i3 (right loop) are the internal currents loops.
Confirmed with simulator microcap v12.

enter image description here

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  • \$\begingroup\$ Oh infinite thanks antonio but could you please guide me on how you came up with those equations? \$\endgroup\$
    – HellBoy
    Commented Nov 28, 2023 at 15:37
  • \$\begingroup\$ whats \$ E_{in}/s \$ what is 's'? \$\endgroup\$
    – HellBoy
    Commented Nov 28, 2023 at 15:46
  • \$\begingroup\$ It is the Laplace transform. s is also j*2*pi*f when one transform the Laplace s to frequency domain. \$\endgroup\$
    – Antonio51
    Commented Nov 28, 2023 at 16:33
  • \$\begingroup\$ Ein/s is the Laplace transform of the step generator of 4 V. \$\endgroup\$
    – Antonio51
    Commented Nov 28, 2023 at 16:34
  • \$\begingroup\$ infinite thanks antonio! \$\endgroup\$
    – HellBoy
    Commented Nov 28, 2023 at 16:35

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