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A matrix version of Kirchhoff's current law is the basis of most circuit simulation software, such as SPICE. The current law is used with Ohm's law to perform nodal analysis. The current law is applicable to any lumped network irrespective of the nature of the network; whether unilateral or bilateral, active or passive, linear or non-linear.
Gustav Robert Kirchhoff (German: [ˈgʊs.taf ˈkɪʁçhɔf]; 12 March 1824 – 17 October 1887) was a German physicist, chemist and mathematican who contributed to the fundamental understanding of electrical circuits, spectroscopy and the emission of black-body radiation by heated objects.
Ohm's law: = / Power is defined as = so Ohm's law can be used to tell us the power of the circuit in terms of other quantities [36] = = / = Kirchhoff's junction rule states that the current going into a junction (or node) must equal the current that leaves the node.
Kirchhoff's current law is the basis of nodal analysis. In electric circuits analysis, nodal analysis, node-voltage analysis, or the branch current method is a method of determining the voltage (potential difference) between "nodes" (points where elements or branches connect) in an electrical circuit in terms of the branch currents.
Kirchhoff (crater) Kirchhoff equations; Kirchhoff integral theorem; Kirchhoff–Love plate theory; Kirchhoff's circuit laws; Kirchhoff's law of thermal radiation; Kirchhoff's theorem; Kirchhoff's diffraction formula
Kirchhoff's laws, named after Gustav Kirchhoff, may refer to: Kirchhoff's circuit laws in electrical engineering; Kirchhoff's law of thermal radiation; Kirchhoff equations in fluid dynamics; Kirchhoff's three laws of spectroscopy; Kirchhoff's law of thermochemistry; Kirchhoff's theorem about the number of spanning trees in a graph
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Mesh analysis and loop analysis both make systematic use of Kirchhoff’s voltage law to arrive at a set of equations guaranteed to be solvable if the circuit has a solution. [1] Mesh analysis is usually easier to use when the circuit is planar, compared to loop analysis.