EE nodal analysis circuit?

Question

guess you can't post pictures up so I'll give you a link:

http://i250.photobucket.com/albums/gg266/funwiththeguns/Snap.png

As the title says, it is a circuit that requires the use of nodal analysis. You don't need to solve it out for me, but help me with the starting equations and I can probably take it from there.

Answer 1

It's been a while since I've had to do nodal but I can try to give you a push in the right direction. You need to find the potential difference between the nodes and it looks like you have three (V1, V2, and GND).

From what I've seen there are different ways to approach it but the way I do it is sum the currents entering/leaving (watch your signs) the node and equate them to 0. This leaves me with two equations and two unknowns.

e.g. at the V1 node we get 0=V1/10 + (V1-V2)/2 + V1/5 + 6. I'll let you do the V2 node but when solved it should work out to V1 = 0V and V2 = 12V.

when in doubt start up a spice simulation to test your results!