To analyze circuit ohm’s law is not sufficient. For analyzing a large variety of circuit Kirchhoff’s two laws are very important. German physicist Gustav Robert Kirchhoff explained his law in 1847. These two laws are known as **KVL** and **KCL**. **KVL** means Kirchhoff’s voltage law and** KCL **means Kirchhoff’s current law. First law is based on conservation of charge. That is the algebraic sum of charges within a system can not change.

KCL states that “The algebraic sum of currents entering a node (or a closed boundary) is zero.

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**Mathematically**

Here,

N = number of branches connected to the node

in = nth current entering or leaving the node

Consider, entering current s positive and leaving the code as negative.

Applying KCL,

i1 + (-i2) + i3 + i4 + (- i5) = 0

Since i1, i3, i4 are entering the node and i2, i5 are leaving it. Now, we get

i1+ i3 + i4 = i2+ i5

This is an alternative form of KCL.