Question

A
|-----2 ohm r-----------2 ohm r--|
| | |
___ 5 ohm r 3 ohm r
- | |
| ___ _
2 ohm r - ___
| | |
| I3 |
| | |
|-----<I1<---------------<I2<----|
B
Hopefully my drawing came out right because I can't find a way to attach the picture of the circuit.
Key:
2 ohm r= 2 ohm resistor
I1, I2, and I3 are currents at three branches. (I1 and I2 are to the left, I3 is downward)
Batteries marked with their usual symbol have voltages (left to right) 12 V, 7 V, 13 V.

1) Find the currents in the three branches.
2) What is the change in potential V_A-V_B?

Answer 1

|-----2 ohm r-----------2 ohm r--|
|*****************|**************|
___************5 ohm r********3 ohm r
-****************|**************|
|****************___*************_
2 ohm r***********-*************___
|*****************|**************|
|****************I3**************|
|*****************|**************|
|-----<I1<---------------<I2<----|

Ignore the stars as blank spaces... same problem.

Answer 2

|-----2-----------------2--------|
|*****************|**************|
___***************5**************3
*-****************|**************|
|****************___*************_
2*****************-*************___
|*****************|**************|
|****************I3**************|
|*****************|**************|
|-----<I1<---------------<I2<----|

"2" instead of "2 ohm r"

Answer 3

In the last drawing you can sort of get the idea of how my circuit is drawn (its still flawed obviously) but if you redraw on a piece of paper it is easy to see. Any input is appreciated. Sorry for all the posts. I can't tell how it will come out until it is actually posted.