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Kirchhoff's Current Law

 

Kirchhoff's Current Law formula

\( 0  \;=\;  \sum I  \)

\( \sum I_{in}  \;=\;  \sum I_{out}  \)

Symbol English Metric
\( \sum I \) = Total Current \(A\) \(A\)
\( \sum I_{in} \) = Current In \(A\) \(A\)
\( \sum I_{out} \) = Current Out \(A\) \(A\)

Kirchhoff’s current law, abbreviated as KCL, also called the first law, is a fundamental principle in electrical circuit theory that deals with the conservation of electric charge at a junction or node in a circuit.  The law states that the total current entering a node is always equal to the total current leaving that node.  In other words, the algebraic sum of currents at a junction is zero, meaning no charge is lost or created within the node itself.  This principle is based on the fact that electric charge cannot accumulate at a node, it must flow continuously through the circuit.  KCL is widely used in circuit analysis to determine unknown currents and ensure that the flow of electricity in a circuit is consistent with the physical law of charge conservation.

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