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## Homework Statement

Find the magnitude of the current in each branch of the circuit shown below, in which B1 = 1.83 V. Specify the direction of each current.

http://img183.imageshack.us/img183/6951/physics.gif [Broken]

I labeled + and - and drew the assumed currents, with I

_{3}flowing to the right along the middle, I

_{1}flowing CW about the top loop, and I

_{2}flowing CCW about the bottom loop.

## Homework Equations

The Loop and Junction Rules apply.

## The Attempt at a Solution

I applied the junction rule first.

I

_{1}+ I

_{2}- I

_{3}= 0

I

_{1}+ I

_{2}= I

_{3}

Then I applied the loop rule to the top loop.

-I

_{3}(56) - 5 - I

_{1}(22) = 0

And then I applied the loop rule to the bottom loop.

-I

_{3}(56) - 1.83 - I

_{2}(75) = 0

I know I have to use these equations to solve for the unknown I's, but I am lost on what to substitute/do next. Any insight would be great. Thanks!

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