Kirchhoff's Current Law (KCL)

Kirchhoff's Current Law (KCL) states that the sum of all currents entering a junction in a circuit is equal to the sum of all currents leaving the junction.

KCL Formula

The formula for KCL is:

∑I_in = ∑I_out

Understanding KCL

KCL is based on the principle of conservation of charge. It means that the total charge entering a junction must equal the total charge leaving the junction.

Example Calculation

Consider a junction with three currents:

I1 + I2 = I3

If I1 = 2A, I2 = 3A, and I3 = 5A, then:

2A + 3A = 5A

Applications of KCL

KCL is used in:

• Analyzing complex circuits
• Designing electrical systems
• Troubleshooting circuit problems

Practice Problems

1. In a junction with I1 = 4A, I2 = 6A, and I3 = ?, calculate I3.
2. Verify KCL in a junction with I1 = 5A, I2 = 2A, and I3 = 3A.

 

 

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