Nodal Analysis: Imaginary Numbers

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Discussion Overview

The discussion revolves around finding the Thevenin Equivalent for a circuit involving complex numbers, specifically focusing on the use of imaginary numbers in nodal analysis. Participants explore different formulations of an equation related to the circuit and compare results obtained from these formulations.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents an equation for nodal analysis and questions the validity of two different formulations for a specific term in the equation.
  • Another participant suggests that both formulations could be correct and encourages solving both to verify the results.
  • A participant reports obtaining the same numerical results from both formulations, indicating consistency in their calculations.
  • There is a query regarding whether a particular result corresponds to Vo, with a participant indicating they obtained a larger result for Vo.
  • Clarification is provided that the last part of the equation can be expressed in two equivalent forms, which relates back to the original question about their validity.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the correctness of the formulations and whether they yield the same results. While some results appear consistent, there is no consensus on the interpretation of the results or the correctness of the formulations.

Contextual Notes

Participants have not resolved the assumptions underlying their equations, and there is ambiguity regarding the definitions of terms like Vo. The discussion remains focused on the mathematical expressions without definitive conclusions.

Who May Find This Useful

This discussion may be useful for students and practitioners interested in circuit analysis, particularly those dealing with complex numbers and nodal analysis in electrical engineering contexts.

HeapofAsh
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Homework Statement



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

2mzh3ig.jpg


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
 
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HeapofAsh said:

Homework Statement



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

2mzh3ig.jpg


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?
 

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