1. The problem statement, all variables and given/known data Find the node voltages for the circuit shown. 2. Relevant equations See attachment. 3. The attempt at a solution I have chosen my ground node as the set of nodes in the bottom of the image and labeled all of my unknown voltages as e_{n}. Here is what I have so far. Where G = 1/R For the node labeled e_{1}: (e_{1}-v_{0})G_{1} + e_{1}(G_{3}) + (e_{1}-e_{2})I_{1} + (e_{1}-e_{2})G_{2}=0 For the node labeled e_{2}: (e_{2}-e_{1})(-I_{2}) + e_{2}(G_{4}) + (e_{2}-e_{1})G_{2}=0 I am pretty sure my problem lies in the way I am handling the currents in the node. I started plugging in numbers after I simplified it all and one of my unknown voltages went away. After that I looked at it again and knew I was doing it wrong. Most of the examples in the book don't deal with a current parallel to a resistor. I think the way I should have done it is rather than subtracting voltages and multiplying like I am doing with the resistor nodes, is just take the current by itself. So in my above equation e_{1})(-I_{1}) would just become -I_{1} since I am not using ohms law for current. I think I only need current? Does that sound better?
Yup. Much better. Voltage x current yields power, not a current, so is quite unsuitable for a KCL expression!
Perfect! Thanks for the help. It seems half the time I post problems, I get them mostly figured out just typing the post up. :)
Yup. Typing it out so that it make sense to someone else can often help one re-evaluate one's logic and assumptions.