Nodal Voltage Analysis with dependent sources

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Discussion Overview

The discussion revolves around a homework problem involving nodal voltage analysis with dependent sources. Participants are focused on evaluating the voltages at specific nodes (V3 and V4) and calculating the output voltage (Vo) and output current (Io). The scope includes problem-solving strategies and the formulation of equations related to the circuit analysis.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant outlines their approach to the problem, mentioning the nodes V1 to V4 and expressing uncertainty about their equation for Io and the branch V3-V4.
  • Another participant asks for clarification on what specifically needs to be solved, noting that the essential nodes for analysis should be identified.
  • A participant later clarifies that the goal is to find Vo and Io.
  • Subsequently, a participant suggests re-evaluating the equation for Io and encourages further exploration of the problem.
  • Finally, one participant reports success in using the branch V3-V4 to determine Io, acknowledging previous unsuccessful attempts and expressing gratitude for the assistance received.

Areas of Agreement / Disagreement

Participants generally agree on the need to clarify the problem statement and the importance of identifying essential nodes. However, there is no consensus on the specific formulation of the equations, as one participant expresses uncertainty about their approach while another suggests a revision.

Contextual Notes

Limitations include the lack of clarity in the initial problem statement regarding the specific quantities to be solved for, as well as potential dependencies on the definitions of essential nodes in the context of nodal analysis.

sparkie
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Homework Statement


All the data is on the sheet. I named the nodes V1 to V4, however I'm primarily evaluating in terms of V3 and V4. The x=V3 and y=V4 are for the systems solving I'm using. I've looked and looked at this problem, and seem to be hung up, but I suspect it is going to be on my equation for Io or having to do with the branch V3-V4.
upload_2018-2-22_9-46-35.png

Homework Equations


All the relevant info is on my work, I tried to be clear, neat and verbose with it.

The Attempt at a Solution


upload_2018-2-22_9-47-16.png
https://pasteboard.co/H8OUDW8.jpg
H8OUDW8.jpg
 

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What, specifically, are you asked to solve for? It's not mentioned in your problem statement.

sparkie said:
I've looked and looked at this problem, and seem to be hung up, but I suspect it is going to be on my equation for Io or having to do with the branch V3-V4.
Your equations look okay except, as you say, your equation for ##i_o## (Assuming that it's properly labelled on your schematic).

Generally it's only necessary to name essential nodes for analysis. Your V1 and V2, being in the middle of branches, are not essential nodes.
 
I apologize for that. They want Vo and Io
 
So, re-think your equation for ##i_o## and show us how you get on...
 
So I ended up using the branch V3-V4 to get the current for Io and it worked. I tried a couple other things and failed before I realized it this morning. Of course, the homework has already been submitted, but I wanted to find out what I was missing, so thank you for the help.
 
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