# Circuit analysis with node voltage method

The problem requires I determine the value of I0, I think my solution is correct but I don't know how to check because I got the problem from a text with no answers. Looking for more experienced eyes to check for me. • You can always do the KVL around the loop to check if your answer is good. And your answer is right. – G36 Jun 11 '18 at 14:55

As far as I can tell the solution is correct. I got $v_1 = -32V$, $v_2 = 24V$, $v_3 = -32V$, $I_0 = -4A$. If you are ever unsure, try using a simulator. It's a great way to verify your solution.

For example, the schematic below can simulate your circuit. And it outputs -4A as well. simulate this circuit – Schematic created using CircuitLab

I've known some very smart people who would first look at the assignment with some glaring eyes and observe:

"4*8 = 8*4 = 32..., what if all the 4A went through branch 0-v1, then 2Io=8A would flow through branch 0-v3 because both v1 and v3 would be 32V hence i3 will then be 0 anyway (and v2=2*12=24V). Check!"

It always amazed me how they did it and somehow I think this question was looking for people like that.