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.
I labeled + and - and drew the assumed currents, with I3 flowing to the right along the middle, I1 flowing CW about the top loop, and I2 flowing CCW about the bottom loop.
The Loop and Junction Rules apply.
The Attempt at a Solution
I applied the junction rule first.
I1 + I2 - I3 = 0
I1 + I2 = I3
Then I applied the loop rule to the top loop.
-I3(56) - 5 - I1(22) = 0
And then I applied the loop rule to the bottom loop.
-I3(56) - 1.83 - I2(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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