Circuit Analysis - Help please..

[MrNobody]

Hi, I was doing my self study on circuit analysis from the book "Understanding Circuits - Learning Problem Solving Using Circuit Analysis". Below is a question from that book and I just can't seem to get the answer. I've been cracking my head for a while now.. Can comebody please point me the right way on how to calculate Vo..?
Thanks..

 

[MrAl]

Hi there,

Do you mean you want to know what Vo is? I see VA, VB, VC, but no V in the circuit there.

 

[MrNobody]

Yes.. Vo.
Thanks.

 

[nickagian]

The key equations are the following :
-> IC=IB=I1
-> I1=-IA-2mA (1)
-> VA = VB + Vo (VA is also applied across the 2mA-current device) (2)

By substituting the given equations and (1) in (2), you finally get IA = -24mA / 9 (the - means different polarity than the one assumed)

By knowing IA, you also know I1 and using the given equations, by (2) you can find the Vo value!

 

[MrNobody]

The key equations are the following :
-> IC=IB=I1
-> I1=-IA-2mA (1)
-> VA = VB + Vo (VA is also applied across the 2mA-current device) (2)

Sorry, what is I1..? Which part of the circuit..?
Thanks..

 

[nickagian]

Sorry, what is I1..? Which part of the circuit..?
Thanks..

Just a constant! Trying to show that IC and IB can be substituted by the same symbol in the equations. Sorry for not clarifying this! In fact I have written the post in a little hurry, 'cause I'm in work. I hope I haven't done any major mistake.