1. The problem statement, all variables and given/known data Find the currents in the circuit shown in the figure attached. 2. Relevant equations I actually have the solution worked out but I don't understand why something was done. So they chose to travel the bottom loop and the top loop clockwise in both cases. So they set up the equation: sum deltaV = Vbattery + V4.0 + V9.0 What I don't understand is why they chose to add the V9.0, rather than the V5.0, or both. How do I know that this is the resistor you use for this equation? I understand you're traveling the loop clockwise, but I don't understand why the 9.0 resistor is used rather than the 5.0 or their equivalent resistance. Also, when they plug in the numbers for this equation they give: sum deltaV = 6.0V -4.0I2 - 9.0I3 Why are the 4.0 and 9.0 components negative? Is it because they're on the other side of the battery? Similarly, for the top loop they give the equation: sum deltaV = -5.0I2 + 9.0I3 Why in this case is the 5.0 negative but the 9.0 positive? 3. The attempt at a solution See above. Apologies for the terrible picture.