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## Homework Statement

Use the node-voltage method to find i

_{0}in the circuit in figure if v=37V.

http://imageshack.us/a/img222/64/figurep0421.jpg [Broken]

## Homework Equations

## The Attempt at a Solution

The hint was to use a supernode, but I'm having trouble trying to make it and get it to work, I connected the top node and bottom node with the voltage source to create the supernode. Used KCL to get 3 equations for the 3 unknowns as follows.

node A: (1/5 + 1/2)V

_{a}+ (-1/5)V

_{b}= 0

node B: (-1/5)V

_{a}+ (1/5 + 1 + 1/5)V

_{b}+ (-1)V

_{c}= 0

node C: (-1)V

_{b}+ (1/30 + 1)V

_{c}= 0

solving the matrix this creates gives me V

_{a}=V

_{b}=V

_{c}=0

This is definitely wrong, and I have been looking through the book (and internet) for an example and couldn't find any that was similar to this... Is my supernode location incorrect or am I making an error at a different part of the process? Thanks for help in advance.

http://imageshack.us/a/img705/8533/eeehomework04p3q.png [Broken]

## Homework Statement

## Homework Equations

## The Attempt at a Solution

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