Nodal Voltage Analysis with dependent sources

[sparkie]

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.

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

https://pasteboard.co/H8OUDW8.jpg

 

[gneill]

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

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.

 

[sparkie]

I apologize for that. They want Vo and Io

 

[gneill]

So, re-think your equation for $i_o$ and show us how you get on...

 

[sparkie]

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.