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A specific in-line reference (of the type requested in the message to the article) is given to the derivation of the Kirchhoff Current Law from Maxwell's equations.
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== Kirchhoff's current law{{anchor|Kirchhoff's current law (KCL)}} == |
== Kirchhoff's current law{{anchor|Kirchhoff's current law (KCL)}} == |
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Kirchhoff's current law can be understood as a corollary of [[Maxwell's equations]] in the low-frequency limit <ref>{Eisenberg, Robert S. Kirchhoff's Current Law: A Derivation from Maxwell's Equations. (2025) DOI: 10.13140/RG.2.2.17088.85766</ref>. It can be extended to higher frequencies if the ideal circuit element for a resistor in Ohm's law is replaced with a more complex [[lumped-element model]], as described below. |
Kirchhoff's current law can be understood as a corollary of [[Maxwell's equations]] in the low-frequency limit <ref>{Eisenberg, Robert S. Kirchhoff's Current Law: A Derivation from Maxwell's Equations. (2025) DOI: 10.13140/RG.2.2.17088.85766</ref>. It can be extended to higher frequencies if each ideal circuit element (such as the resistor in Ohm's law) is replaced with a more complex [[lumped-element model]], as described below. |
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[[File:KCL - Kirchhoff's circuit laws.svg|thumb|The current entering any junction is equal to the current leaving that junction. {{math|1=''i''<sub>2</sub> + ''i''<sub>3</sub> = ''i''<sub>1</sub> + ''i''<sub>4</sub>}}]] |
[[File:KCL - Kirchhoff's circuit laws.svg|thumb|The current entering any junction is equal to the current leaving that junction. {{math|1=''i''<sub>2</sub> + ''i''<sub>3</sub> = ''i''<sub>1</sub> + ''i''<sub>4</sub>}}]] |
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