- #1

- 12

- 1

## Homework Statement

Where V

_{1}= 14V and V

_{2}= 10V, solve for I

_{1}, I

_{2}, and I

_{3}.

## Homework Equations

DeltaV = IR

Sigma(I) at junction = 0

Sigma(DeltaV) of loop = 0

## The Attempt at a Solution

I began by assuming clockwise direction of the loops, to determine the signs of the resistance to follow. I planned to solve by using the following three equations:

I

_{3}= I

_{1}+ I

_{2}

(Upper loop) -14V - 10V + 6I

_{1}- 4I

_{2}= 0

(Lower loop) 10V - 2I

_{3}- 6I

_{1}

I began by solving for I

_{1}using the lower loop equation, resulting in I

_{1}= 1.67 - 0.33I

_{3}

I plugged in the solution for I

_{1}into the upper loop equation to solve for I

_{2}in terms of I

_{3}, resulting in I

_{2}= -8.5 - 0.5I

_{3}

I then plugged in the solutions for I

_{2}and I

_{1}into the first equation to solve for I

_{3}, which resulted in I

_{3}= -3.7

The correct value for I

_{3}should be -1A.

I know the equations I am starting with are correct, according to the answer. I don't understand where I'm going wrong with the algebra. It all looks like it should be work to me.

Please help. Thanks!

Last edited: