Engineering Solving Dependent Voltage Sources in AC Circuit Mesh Analysis

[jhmz]

Im doing mesh analysis on an AC circuit only problem is i don't know how to handle the dependant voltage source.

My circuit:
http://img139.imageshack.us/my.php?image=accircuitrx0.jpg

I think I am supposed to just assign a value for Vo but I am not sure. Is it possible to work out what Vo is?

Thankss

 

[Defennder]

There's a problem with using mesh analysis here: you don't know the potential drop across the dependent current source. Yes you can work out what V₀ is. I did it using nodal analysis.

If you really want to use mesh analysis, you should use source transformation to convert that dependent current source to a voltage source.

EDIT: Ok, scratch out that the last sentence above. I can't remember if you can apply source transformation to a dependent source. Can someone confirm this?

 

[jhmz]

ok up until 5minutes after i posted this i thought that the dependent source was a voltage source (facepalm) i should have known it was a current source lol. So it makes things easier that it is a current source.

Vo is simply I1 - I2, as V = IZ but the impedance at the resistor is 1 so therefore:
V = IZ
V = I*1
V = I

Now instead of having 3 equations (for 3 mesh's) and unknowns to find you can simply replace what would have been I3 (in the third mesh) with 2Vo = 2(I1 - I2) which eliminates the need for the third equation

Thanksss