AC circuit with dependant current and voltage source and open circuit element

Yarnzorrr

I've been given the following problem (attached), not sure how to tackle this one, do I use mesh/node analysis and super node analysis, or can I find the v in the loop with the dependant voltage source then use that as the supply to the second and third loops?

Not sure, any help would be appreciated. Thanks!

Attached Thumbnails

 

gneill

The problem asks you to find Vx in terms of Ix. Seems to me that you can ignore the left hand loop entirely for this and just assume that Ix is, well, Ix. So what current does the current source in the middle produce?

Yarnzorrr

So I just find the current through the 2 and 1 KΩ on the left, ignoring the dependant voltage source?

gneill

No, you just ignore the left hand loop entirely. Ix is the given current; You're looking for an expression (equation), not a numerical result.

CWatters

eg just look at the right hand side. Take the input as 30*Ix. Write the equation and divide by 30.