Engineering Find v_o and i_o in the circuit

[physics=world]

________________a

The 6 A is 9 A for the problem I'm solving for.

Homework Equations

Only using KCL

The Attempt at a Solution

I tried using KCL @ node a:

9 = i_o + i₀/4

I get i_o = 7.2 A.

The answer in the book is 6A. What am I doing wrong?

 

[gneill]

What about the current through the 8 Ω resistor?

 

[STEMucator]

You should get something like:

$6A - i_o - \frac{i_o}{4} - i_x = 0$

Then using the fact everything is in parallel, you should be able to find what you need.