Solve KVL and KCL for V0: Find Voltage Using Kirchhoff's Laws

[sevag00]

Homework Statement

Use Kirchhoff's voltage and current laws to find the voltage V₀

Homework Equations

KVL: ƩV=0
KCL: i_in=i_out

The Attempt at a Solution

http://s2.postimg.org/6b2013cbt/001.jpg [Broken]

If you guys want the original circuit diagram, i'll post it.
Note: The current flowing through i₂ is -0.2mA. Forgot to put the minus sign.

 

[gneill]

You only need enough KVL loops to "touch" each component once. Any additional loops will just be dependent upon the one's you've already written. So you can stop with the first two loops equations that you wrote (I and II). That plus your KCL equation are sufficient.

Replace V_A in equation II with i₁*4k. Solve for i₃.

 

[sevag00]

I did the following:
KCL at a: i₁-i₂-i₃=0
KVL at I: 4ki₁+6ki₂=6
KVL at II: 16ki₁-6ki₂+12ki₃=0 (V_A=4ki₁, 4V_A=16ki₁)
The answers i got:
i₁=0.45mA
i₂=0.7mA
i₃=-0.2mA

 

[gneill]

I'm seeing -(1/4) mA for i3. Maybe check your math?

 

[sevag00]

Maybe yeah. The calculator is showing only one significant digit.