Branch current analysis enables us to determine the current flowing through any branch of a circuit. Today you'll learn the application of Branch current analysis to a circuit comprising voltage and the current source.
Statement and circuit diagram:
Statement and circuit diagram:
Step 1: Apply Kirchhoff's voltage law to the loop adc
10 V = 6 I2 + 5 I3 ... (1)
Step 2: Apply KVL to the loop abd
1 V + 5 I3 = 10 I4 ... (2)
Step 3: Apply Kirchhoff's current law to node a
I2 = I3 + I4 + 5 A.. (3)
Solving the three equations we obtain our final answers:
I2 = 2.893 A
I3 = - 1.471 A
I4 = -0.63 A
Negative sign with current I3 indicates that actual current flow is opposite to our assumed direction of the current.
Step 2: Apply KVL to the loop abd
1 V + 5 I3 = 10 I4 ... (2)
Step 3: Apply Kirchhoff's current law to node a
I2 = I3 + I4 + 5 A.. (3)
Solving the three equations we obtain our final answers:
I2 = 2.893 A
I3 = - 1.471 A
I4 = -0.63 A
Negative sign with current I3 indicates that actual current flow is opposite to our assumed direction of the current.
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