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

Step 2: Apply KVL to the loop abd

1 V + 5 I

Step 3: Apply Kirchhoff's current law to node a

I

Solving the three equations we obtain our final answers:

I

I

I

Negative sign with current 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 AI

_{3 }= - 1.471 AI

_{4 }= -0.63 ANegative sign with current I

_{3 }indicates that actual current flow is opposite to our assumed direction of the current.
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