Nodal Analysis: Imaginary Numbers

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HeapofAsh
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Homework Statement



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

Circuit schematic: 75 V at 0 degrees source in series with 600 ohm resistor and j150 ohm inductor, feeding a node with a dependent current source 0.02 V0 and a -j150 ohm capacitor to output V0, with a 40 ohm resistor across the output terminals.


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
 
HeapofAsh said:

Homework Statement



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

Circuit schematic with a 75 V source at angle 0° in series with 600 Ω resistor, j150 Ω inductor, a dependent current source 0.02 V0, a -j150 Ω capacitor, and a 40 Ω resistor across output terminals labeled V0.


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!
 
rude man said:
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
 
HeapofAsh said:
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.
 
The Electrician said:
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.
 
So what's your final result?