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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?