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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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.
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.