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## Homework Statement

Use the supernode technique to find I

_{0}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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