Kirchhoff’s Current Law (KCL)
Kirchhoff’s Current Law (KCL): At any instant the sum of all currents entering a node must be equal to all currents leaving the same node.
Mathematically KCL can be expressed as
· KCL is the simply conservation of charge.
· A node can’t accumulate or eliminate Charge.
Applying KCL:
To apply KCL successfully, we must first label all branch currents of interest and indicate their reference directions by means of arrows.
For Example:
· If a current is unknown assume its direction.
· Solve equations to find value of current.
· Positive sign shows that the assumed direction is same. Negative sign shows that the assumed direction is false.
Solved Problem:
If i5 =3A, i6 =4A, Find i3 so That i2 = 1A
At Node C
i4 = i5 + i6
i4 = 3A+4A
i4 = 7A
At Node B
i2 = i3 + i4
i3 = i2 – i4
i3 = 1A – 7A
i3 = -6A
Negative sign shows that the assumed direction is false.
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