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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.
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
Gustav Robert Kirchhoff (German: [ˈgʊs.taf ˈkɪʁçhɔf]; 12 March 1824 – 17 October 1887) was a German physicist, mathematican and chemist who contributed to the fundamental understanding of electrical circuits, spectroscopy and the emission of black-body radiation by heated objects.
Kirchhoff Institute of Physics, a research institute in Heidelberg, Germany; Kirchhoff's laws, a group of laws of physics (in thermodynamics, electrical circuits, spectroscopy, and fluid mechanics) named for Gustav Kirchhoff; Kirchhoff's theorem, in graph theory, a theorem concerning the number of "spanning trees" in a graph, named for Gustav ...
The name "harmonic balance" is descriptive of the method, which starts with Kirchhoff's Current Law written in the frequency domain and a chosen number of harmonics. A sinusoidal signal applied to a nonlinear component in a system will generate harmonics of the fundamental frequency. Effectively the method assumes a linear combination of ...
Kirchhoff's laws: Electronics, thermodynamics: Gustav Kirchhoff: Kopp's law: Thermodynamics: Hermann Franz Moritz Kopp: Larmor formula: Physics Joseph Larmor: Leidenfrost effect: Physics: Johann Gottlob Leidenfrost: Lagrangian point Lagrange reversion theorem Lagrange polynomial Lagrange's four-square theorem Lagrange's theorem Lagrange's ...
The law is not derived in a way that can be applied to modern circuits. The law is presented as an approximation for slow systems, but modern circuits are not slow. Here is the formal argument. The current in the discussion of Kirchhoff’s law is the flux of charges with mass. Kirchhoff’s law then says that charges do not accumulate.
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