Kirchhoff’s Current Law

Rabert T
03/10/2024

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Kirchhoff’s Laws include two fundamental principles in electrical circuit analysis:

  • Kirchhoff’s Current Law (KCL) (Kirchhoff’s First Law or Kirchhoff’s 1st Law) & 

  • Kirchhoff’s Voltage Law (KVL) (Kirchhoff’s Second Law or Kirchhoff’s 2nd Law).

These principles serve as essential tools for evaluating complicated electrical circuits, allowing engineers & researchers to predict & comprehend the behavior of circuits in various configurations. Kirchhoff’s Laws are widely applied in

  • Electronics engineering, 

  • Electrical engineering, &

  • Physics for circuit analysis & design.

What does Kirchhoff’s Current Law (KCL) State?

Kirchhoff’s current law states that the algebraic sum of current entering into a node (or) a loop must be equal to the algebraic sum of current flowing out of it.


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What is Node?

A node is a junction, connector, or terminal in a circuit that connects two or more branches by joining or connecting circuit components. A dot represents a node.

In an electrical circuit, the term “Node” typically refers to

the joining or intersecting of two or more components, such as cables, that conduct current. A closed circuit path is also necessary for current to flow through a node, either in or out.

According to the node currents from the above diagram,

The 3 currents entering the node in this case,

  • I1, I2, and I3 all have positive values, whereas

  • I4 and I5 have negative values,

the two currents leaving the node.

As a result, the equation can also be rewritten,


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What is the other name of Kirchhoff’s Current Law?

Kirchhoff’s Current Law is also called as Kirchhoff’s First Law.

Application of KCL:

KCL is used to calculate the amount of current passing through each electronic component in a circuit. By adjusting the component’s resistance, we can alter the component’s current according to KCL law.

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Rabert T

As an electrical engineer with 5 years of experience, I focus on transformer and circuit breaker reliability in 110/33-11kV and 33/11kV substations. I am a professional electrical engineer with experience in transformer service and maintenance.

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