Of course you get to define your current loops yourself.Wouldn't you have three unknowns? The current through R2, the current through R1 in the left loop, and the current through R1 in the right loop? That's what's been confusing me.
Well, that's not the way I would have done it. But let's use your method. I should still point out though that there is no need to define i2 at all, the way that you've defined it. i2 isn't even a loop. It starts and ends, but doesn't loop back on itself. It is unnecessary.Okay, so, defining the current to be traveling in a clockwise direction:
Using your method, solve for i2 (i.e. i2 = i3 - i1). Then anytime you see an i2 in any of your first two equations, substitute the results in, which leaves only i1 and i3! That gives you two equations and two unknowns!RIGHT LOOP:
I feel like a third variable is necessary. Because the R1's on either side aren't equal.
THere is one current going through the left, another through the right, and another through the middle.
I set a third equation to be i2+i1-i3=0.
But I wouldn't know where to go from there