Where V1 = 14V and V2 = 10V, solve for I1, I2, and I3.
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:
I3 = I1 + I2
(Upper loop) -14V - 10V + 6I1 - 4I2 = 0
(Lower loop) 10V - 2I3 - 6I1
I began by solving for I1 using the lower loop equation, resulting in I1 = 1.67 - 0.33I3
I plugged in the solution for I1 into the upper loop equation to solve for I2 in terms of I3, resulting in I2 = -8.5 - 0.5I3
I then plugged in the solutions for I2 and I1 into the first equation to solve for I3, which resulted in I3 = -3.7
The correct value for I3 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!