Loop Rule - Batteries and Resistors

[ihearyourecho]

Homework Statement

Two batteries and three resistors are connected as shown in the figure .
http://session.masteringphysics.com/problemAsset/1122583/1/Walker.21.52.jpg

A) How much current flows through 6.0 V battery when the switch is closed?
B) How much current flows through 9.0 V battery when the switch is closed?
C) How much current flows through 6.0 V battery when the switch is open?
D) How much current flows through 9.0 V battery when the switch is open?

Homework Equations

Kirchoff's Rule

The Attempt at a Solution

I broke it down into two different loops, the one on the left and the one on the right. I labeled the 6V battery as E1 and the 9V one as E2. I called the current flowing upward from 6V I1 and the current flowing upward from 9V I2. I labeled the resistor under the 6V battery R1 and the resistor under the 9V battery R2.

From this, here are my equations:

For Loop 1:
E1-E2-I1R1+I2R2=0

For Loop 2:
E2-I3R3-I2R2=0

Both of these due to Loop Rule.

I'm not sure where to go from here, or even if these are totally correct.

Help would be great :)

 

[tiny-tim]

Hi ihearyourecho!

(try using the X₂ tag just above the Reply box )

An equation relating I₁ I₂ and I₃ would be pretty cool.

 

[ihearyourecho]

After sitting down with my teacher and getting some help from him, I was able to crank through the problem. Thanks for the tip about super and subscripts though!