Find Voltage in the following circuit

[naivy]

Homework Statement

Homework Equations

nodal analysis, kvl, kcl, loop analysis?

The Attempt at a Solution

Can someone please tell me if my nodal equations look right?
Did I redraw the circuit properly?
Mainly I'm confused about how to treat that dependent current source at the top.

 

[gneill]

The source at the top looks like a voltage source, not a current source.

 

[naivy]

But the initial problem has a current running across the top, which led me to think that it's a current source. Are you sure it's a voltage source? If so, I have absolutely no idea how the nodal equations will work...

 

[gneill]

But the initial problem has a current running across the top, which led me to think that it's a current source. Are you sure it's a voltage source? If so, I have absolutely no idea how the nodal equations will work...

I see the classic diamond shape of a controlled source and within it + and - designations for polarity. To me that says "voltage source". If it were a current source I'd expect to see an arrow inside. To be on the safe side check with your reference materials for your course, which will likely follow a common standard.

This looks like a case where KVL loop equations will be a straightforward way to go. If your heart is set on nodal analysis, consider that a judicious choice of supernode will help