Nodal Analysis For Circuits class

[DefaultName]

Homework Statement

Hi guys, I solved this problem out. I'm just curious as to see if my work is valid. I strongly believe it is, but perhaps you can help me.

I do have a quick question... once I've found all the voltages at specific nodes, I_o is the difference of the voltage / resistance between the nodes. Now, if you look at the diagram, would it be V_4 - V_3 or vice versa? I'm guessing V_3 - V_4, just to satisfy PSC. (notice, in the bottom right corner, I left the V subscripts as blank, for the time being).

Here's the work:

http://img100.imageshack.us/img100/4870/untitledwq1.png [Broken]

 

[Swapnil]

Your I_x should have been (V_1 - V_2)/1k.

I think that you nodal equation for V_3 is incorrect because you are ignoring the current in the branch that contains a 45V independent voltage source.

And yes, I_o = (V_3 - V_4)/1k.