# 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?

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 :)