Complex number help (AC circuit)

  • Engineering
  • Thread starter Color_of_Cyan
  • Start date
  • #1

Homework Statement




Use the supernode technique to find I0 in the circuit


[Broken]



Homework Equations



nodal analysis, AC analysis


The Attempt at a Solution



Taking the left essential node as V1 and the right essential node as V2,


V1 + 12V = V2

and

-V1/(1-1j)Ω + -V1 / 2Ω = V2 / 2jΩ + V2 / (2+2j)Ω


Then

(-2ΩV1 - 1ΩV1 + 1jΩV1)/(2-2j)Ω = 2ΩV2 + 4ΩjV2/(-2+4j)Ω


And sorry to say, but need help in knowing the best way to isolate v1 or v2 from here...
 
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Answers and Replies

  • #2
gneill
Mentor
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For nodal analysis using the supernode technique, there's really only one node in this circuit: the supernode itself. All the other nodes are embedded in series-connected branches wherein you can simply combine the impedances.
 

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