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 I
2
+ 5 I
3
... (1)
Step 2: Apply KVL to the loop abd
1 V + 5 I 3 = 10 I 4 ... (2)
Step 3: Apply Kirchhoff's current law to node a
I 2 = I 3 + I 4 + 5 A.. (3)
Solving the three equations we obtain our final answers:
I 2 = 2.893 A
I 3 = - 1.471 A
I 4 = -0.63 A
Negative sign with current I 3 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 I 3 = 10 I 4 ... (2)
Step 3: Apply Kirchhoff's current law to node a
I 2 = I 3 + I 4 + 5 A.. (3)
Solving the three equations we obtain our final answers:
I 2 = 2.893 A
I 3 = - 1.471 A
I 4 = -0.63 A
Negative sign with current I 3 indicates that actual current flow is opposite to our assumed direction of the current.
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