I have been studying for intro to circuit analysis midterm. I've come across two problems that I do not fully understand even though I have looked up the answers on Cramster.

3.82
I approached this problem with loop analysis. First I related Io= I2-I3 , I3= -12mA , Ix= I1-I2 . I wrote out equations for the KVL around the L1( furthest left) and L2 (mid) . I ended up finding that I1=-9mA I2=-18mA. From this I found Io to be -6mA. When I looked up the answer it says that the Io= 0mA. Can you please tell me where I went wrong?


3.84
The directions say to use nodal analysis, but I don't know how to deal with the current around the dependent voltage source. The solution posted was very unclear. I don't expect you to solve it for me, any guidance will help a lot.

 

For the first problem the middle loop KVL equation would be

4000Ix=4000Ix-12000Io

which immediately implies that Io=0 with the Ix terms cancelling out.

 

thank you for your help. My attempt was unnecessarily complicated. Anyone have any tips for the second one?

 

In the second problem there are two nodes.

The node voltage on the left is

\(V_1=-4000I_x \ \ ...\(1 \)\)

At the right hand node - Vo node

\(0.004=\frac{V_o}{10000} + I_x \ \ ...\(2 \)\)

Another equation is required for a solution

\(V_o-V_1=10000I_x \ \ ...\(3 \)\)

Substitute equation (1) into (3) to eliminate V1 and simultaneously solve the result with equation (2) to find Vo