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Kirchhoff's Current Law

Kirchhoff's Current (2nd) Law - RF CafeKirchhoff's Current Law (aka Kirchhoff's 1st Law) is one of the fundamental principles in electrical circuit theory. It's named after Gustav Kirchhoff, a German physicist who formulated this law in the mid-19th century. KCL is used to analyze and describe the behavior of electric currents at junction points within electrical circuits.

The statement of Kirchhoff's Current Law is as follows:

"At any junction (or node) in an electrical circuit, the sum of the currents entering the junction is equal to the sum of the currents leaving the junction."

In other words, when you consider a point in a circuit where multiple conductors or wires meet (a node), the algebraic sum of the currents flowing into that node is always equal to the algebraic sum of the currents flowing out of that node. This law is based on the principle of conservation of electric charge, which means that no electric charge is lost or created at a junction; it simply flows in and out.

Mathematically, Kirchhoff's Current Law can be expressed as:

Σ (incoming currents) = Σ (outgoing currents)


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