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Reciprocity of electrical networks is a special case of Lorentz reciprocity, but it can also be proven more directly from network theorems. This proof shows reciprocity for a two-node network in terms of its admittance matrix, and then shows reciprocity for a network with an arbitrary number of nodes by an induction argument.
Reciprocity is useful in optics, which (apart from quantum effects) can be expressed in terms of classical electromagnetism, but also in terms of radiometry. There is also an analogous theorem in electrostatics, known as Green's reciprocity, relating the interchange of electric potential and electric charge density.
Reciprocity (electrical networks), reciprocity theorem as it relates to current and voltage in electrical networks; Reciprocity (network science), measures the tendency of vertex pairs to form mutual connections between each other; Reciprocity (optoelectronic), a diode under illumination to the photon emission of the same diode under applied ...
Reciprocity in linear systems is the principle that a response Rab, measured at a location (and direction if applicable) a, when the system has an excitation signal applied at a location (and direction if applicable) b, is exactly equal to Rba which is the response at location b, when that same excitation is applied at a.
In network science, reciprocity is a measure of the likelihood of vertices in a directed network to be mutually linked. [1] Like the clustering coefficient , scale-free degree distribution , or community structure , reciprocity is a quantitative measure used to study complex networks .
Stanley's reciprocity theorem for generating functions; Reciprocity (engineering), theorems relating signals and the resulting responses including Reciprocity (electrical networks), a theorem relating voltages and currents in a network; Reciprocity (electromagnetism), theorems relating sources and the resulting fields in classical electromagnetism
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For this, the electric and magnetic fields do not need distinct descriptions, because they propagate feeding each other evenly. So the Helmholtz principle is a more simply described special case of electromagnetic reciprocity in general, which is described by distinct accounts of the interacting electric and magnetic fields. The Helmholtz ...