Nodal Analysis: Imaginary Numbers

[HeapofAsh]

Homework Statement

I have to find the Thevinin Equivalent for the following circuit.

I am assuming the current is going out of the node.
V= node between inductor and capacitor
V₀ = V[40/(40-150j)]

(V-75)/(600+150j) + (-0.02V₀) + V/(40-150j) = 0

The only problem I have is with the last part of the equation, is the one I have right or is it (V-V₀)/-150j

 

[rude man]

Homework Statement

I have to find the Thevinin Equivalent for the following circuit.

I am assuming the current is going out of the node.
V= node between inductor and capacitor
V₀ = V[40/(40-150j)]

(V-75)/(600+150j) + (-0.02V₀) + V/(40-150j) = 0

The only problem I have is with the last part of the equation, is the one I have right or is it (V-V₀)/-150j

Maybe they're both right! Solve both ways & see!

 

[HeapofAsh]

Maybe they're both right! Solve both ways & see!

Ok I solved just the last part two different ways since it was the only different part in the equation, and I got the same answers.

0.0016597 - 0.007109j

Thnx

 

[The Electrician]

Ok I solved just the last part two different ways since it was the only different part in the equation, and I got the same answers.

0.0016597 - 0.007109j

Thnx

Is this supposed to be Vo?

I get a much larger result for Vo.

 

[HeapofAsh]

Is this supposed to be Vo?

I get a much larger result for Vo.

No that is just the last part of the equation, V/(40-150j) which is same as (V-V₀/-150j
This means I can use either of these two, which was my original question.

 

[The Electrician]

So what's your final result?