Node voltage Analysis with voltage controlled voltage source

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Discussion Overview

The discussion revolves around a homework problem involving node voltage analysis in a circuit that includes a voltage-controlled voltage source. Participants explore the formulation of equations based on the circuit diagram and the relationships between the node voltages.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant presents their attempt at solving the circuit using node voltage analysis, detailing equations for three nodes and expressing difficulty in obtaining the correct answers.
  • Another participant questions the formulation of a dependency equation, suggesting that the expression for Vx should be simplified to vx = v2 - v1.
  • A later reply indicates that the participant resolved their issue, attributing it to minor mistakes in dependency equations.
  • Another participant notes the necessity of having four equations for four unknowns, implying that the fourth equation is essential for a complete solution.
  • One participant humorously acknowledges a mistake in writing the fourth equation, indicating a common challenge in homework problems.

Areas of Agreement / Disagreement

The discussion shows some agreement on the need for a fourth equation to solve for all unknowns, but there is no consensus on the specific formulations or the correct approach to the problem.

Contextual Notes

Participants express uncertainty regarding the correct formulation of equations and the relationships between the node voltages, highlighting potential dependencies that may complicate the analysis.

forsaken231
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Homework Statement


Here is the circuit
http://i.imgur.com/Xn2mc.jpg

The Attempt at a Solution


I've tried it a few ways, but the one I'm going for at the moment is this

Node 1: (v1-v2)/10 + (v1-v3)/15 + v1 /5 = 1
Node 2: (v2-v1)/10 + (v2-v3)/10 + v2 / 5 = 2
Node 3: 2Vx where Vx = (v2 - v1)/10

When I solve I don't get the correct answers:
Node 1: 5.405V and Node 2: 7.297V

I tried doing equations without a 'node 3' involved but they just didnt work out either. If i DO only need to use 2, please explain to me how to do so, I'm really stuck :(
 
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Don't have time to dive into this thing yet, but this is not helping:
Node 3: 2Vx where Vx = (v2 - v1)/10

should be vx = v2 - v1
 
You're a lifesaver, figured it out.
It's always the small things that get me, stupid dependency equations.

Thank you :)
 
I assume you dug up the 4th equation? 4 unknowns need 4 equations: v1, v2, v3, vx.
Of course, the 4th is obvious ...
 
haha i had the 4th equation i just wrote it wrong >.<
 

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