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**1. Homework Statement**

Find the node voltages [itex]V_1[/itex] through [itex]V_3[/itex] in the circuit below.

http://img413.imageshack.us/img413/2240/chapter3problem328an.jpg [Broken]

**2. Homework Equations**

KCL, KVL, V = i R, super-node

**3. The Attempt at a Solution**

I added 5 currents and 2 KVL loops.

http://img101.imageshack.us/img101/3699/chapter3problem32part24yt.jpg [Broken]

[tex]V_2\,=\,42\,V[/tex] <----- Right?

Now I do KVL loop 1

[tex](-12\,V)\,+\,(20\,V)\,+\,V_3\,=\,0\,\,\longrightarrow\,\,V_3\,=\,-8\,V[/tex]

And KVL at loop 2

[tex](-20\,V)\,+\,(10\,V)\,+\,(V_1\,-\,V_3)\,=\,0\,\,\longrightarrow\,\,V_1\,-\,V_3\,=\,10\,V[/tex]

[tex]V_1\,-\,(-8\,V)\,=\,10\,\,\longrightarrow\,\,V_1\,=\,2\,V[/tex]

Does that seem right?

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