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Try changing the value of input. You will get automatic answer in blue button.
Using LTSpice IV simulation to check the mathematical solution.
I 1 + I 2 + I 3 = Eq. 1
I 1 + I 2 + I 3 = Eq. 2
I 1 + I 2 + I 3 = Eq. 3
I2 negative current only means the actual current flow is opposite to the assumed current flow. Do simulation by changing the value of R1, R2, R3, V1 and V2. Then watch the predicted current. Using the expected current output reading is one way to troubleshoot if there is a resistor value problem.
Answer, I 1 = 1.158
Answer, I 2 = -0.421
Answer, I 3 = 0.737
PRACTICE SIMULATION: if you are troubleshooting the same circuit. Then you can update new values and check the expected values. if your actual test reading does not match the expected values then one of the components is defective.
R1 = 2
R3 = 5
R2 = 4
V1 = 6
V2 = 2
Update any values of R1, R2, R3, V1, and V2 for troubleshooting. The equation will be updated for new data entry.
These are solved using Cramer's Rule; Keep in mind that sometimes Cramer's Rule doesn't work. Therefore always substitute the value of I 1, I 2, and I 3 to equation 1, 2, and 3 to check if they are valid answer.
To validate your answer substitute the values of I 1, I 2, and I 3 to your original equation 1 , equation 2, and equation 3. The answer must satisfy all the equations or the three specified constraint with very small error.
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