Kirchhoff Voltage Rule Problem

[bob1352]

Homework Statement

Just for practice, not for any assignment

Relevant Equations

Kirchhoff Voltage Rule, Sum of Voltage Drops in Loop is Equal to Zero.

I tried doing three loops. For the bottom I did 9-I1(1) + I2(1) - I3(10) -12 = 0, for the upper left corner I did 12 - I2(1)- I2(5) = 0, for the upper right corner I did 9 - I1(1) - I1(8) = 0. I came to I1 =1, I2 =2 and I3 = .2. This was incorrect, I don't think I am summing the currents correctly. I have attached an image of the problem.

 

[kuruman]

Why do you have a term I1(8)? I1 is the current through the 1.00 Ω resistor. Is all that current also going through the 8.00 Ω resistor or does some of it split at the junction on the right? Same problem with the I2(5) term. To solve such circuits you need to make sure that charge is also conserved. This means that the net current through any junction must be zero.