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Homework Statement
Find the node voltages for the circuit shown.
Homework Equations
See attachment.
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?
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