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## Homework Statement

The question pertains to the first problem from this link

https://courses.physics.illinois.edu/phys212/sp2014/practice/practice.pl?exam2/fa10

They ask for the value of "I" in terms of V1, V2, R1, and R2.

## Homework Equations

V = IR

∑V

_{i}= 0 [/B]

## The Attempt at a Solution

Choosing Kirchoff's Voltage Law will produce three equations....[/B]

1). V

_{1}- i

_{1}R

_{1}- V

_{2}- i

_{2}R

_{1}- i

_{1}R

_{2}= 0

2). V

_{2}- V

_{2}- i

_{3}R

_{1}+ i

_{2}R

_{1}= 0

3). V

_{1}- i

_{1}R

_{1}- V

_{2}- i

_{3}R

_{1}- i

_{1}R

_{2}= 0

The question makes it seem as if I could solve for that current with just one equation. i'm confused on how to label the currents given the positioning of the battery terminals in the circuit as well. They seem to be pumping current directly into each others positive terminals, why is this an efficient set up for the circuit in the first place? Should I combine the two V

_{2}batteries because voltages in parallel are equal?