(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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. Relevant 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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# CIRCUIT ANALYSIS: 3 Resistors, 3 Voltage Src, 1 Current Src - Find v1, v2, v3

**Physics Forums | Science Articles, Homework Help, Discussion**