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Gyrator

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A gyrator is a passive, linear, lossless, two-port electrical network element proposed in 1948 by Bernard D. H. Tellegen as a hypothetical fifth linear element after the resistor, capacitor, inductor and ideal transformer. Unlike the four conventional elements, the gyrator is non-reciprocal. Gyrators permit network realizations of two-(or-more)-port devices which cannot be realized with just the four conventional elements. In particular, gyrators make possible network realizations of isolators and circulators.

InductorInductorPassive two-terminal electrical component that stores energy in its magnetic fieldAn inductor, also called a coil, choke, or reactor, is a passive two-terminal electrical component that stores energy in a magnetic field when an electric current flows through it. An inductor typically consists of an insulated wire wound into a coil.Electrical elementElectrical elementIn electrical engineering, electrical elements are conceptual abstractions representing idealized electrical components, such as resistors, capacitors, and inductors, used in the analysis of electrical networks. All electrical networks can be analyzed as multiple electrical elements interconnected by wires. Where the elements roughly correspond to real components, the representation can be in the form of a schematic diagram or circuit diagram.Reciprocity (electrical networks)Reciprocity (electrical networks)Reciprocity in electrical networks is a property of a circuit that relates voltages and currents at two points. The reciprocity theorem states that the current at one point in a circuit due to a voltage at a second point is the same as the current at the second point due to the same voltage at the first. The reciprocity theorem is valid for almost all passive networks. The reciprocity theorem is a feature of a more general principle of reciprocity in electromagnetism.TransformerTransformerDevice to couple energy between circuitsIn electrical engineering, a transformer is a passive component that transfers electrical energy from one electrical circuit to another circuit, or multiple circuits. A varying current in any coil of the transformer produces a varying magnetic flux in the transformer's core, which induces a varying electromotive force (EMF) across any other coils wound around the same core.Linear circuitA linear circuit is an electronic circuit which obeys the superposition principle.CapacitorCapacitorElectronic componentA capacitor is a device that stores electrical energy by accumulating electric charges on two closely spaced surfaces that are insulated from each other. It is a passiveelectronic component with two terminals. A capacitor was originally known as a condenser, a term still encountered in a few compound names, such as the condenser microphone. Colloquially, a capacitor may be called a cap. The utility of a capacitor depends on its capacitance.Passivity (engineering)Passivity is a property of engineering systems, most commonly encountered in analog electronics and control systems. Typically, analog designers use passivity to refer to incrementally passive components and systems, which are incapable of power gain. In contrast, control systems engineers will use passivity to refer to thermodynamically passive ones, which consume, but do not produce, energy. As such, without context or a qualifier, the term passive is ambiguous.ResistorResistorA resistor is a passivetwo-terminalelectronic component that implements electrical resistance as a circuit element. In electronic circuits, resistors are used to reduce current flow, adjust signal levels, to divide voltages, bias active elements, and terminate transmission lines, among other uses. High-power resistors that can dissipate many watts of electrical power as heat may be used as part of motor controls, in power distribution systems, or as test loads for generators.Two-port networkTwo-port networkElectric circuit with two pairs of terminalsFigure 1: Example two-port network with symbol definitions. Notice the port condition is satisfied: the same current flows into each port as leaves that port.In electronics, a two-port network (a kind of four-terminal network or quadripole) is an electrical network (i.e. a circuit) or device with two pairs of terminals to connect to external circuits.Network synthesis filtersNetwork synthesis filtersIn signal processing, network synthesis filters are filters designed by the network synthesis method. The method has produced several important classes of filter including the Butterworth filter, the Chebyshev filter and the elliptic filter. It was originally intended to be applied to the design of passive linear analogue filters but its results can also be applied to implementations in active filters and digital filters.Bernard D. H. TellegenBernard D. H. TellegenBernard D.H. Tellegen (24 June 1900 – 30 August 1990) was a Dutch electrical engineer and inventor of the pentode and the gyrator. He is also known for a theorem in circuit theory, Tellegen's theorem. He obtained a master's degree in electrical engineering from Delft University in 1923, and joined the Philips Natuurkundig Laboratorium (Philips Physics Laboratory) in Eindhoven. In 1926, he (and Gilles Holst) invented the pentodevacuum tube.Lumped-element modelLumped-element modelThe lumped-element model (also called lumped-parameter model, or lumped-component model) is a simplified representation of a physical system or circuit that assumes all components are concentrated at a single point and their behavior can be described by idealized mathematical models. The lumped-element model simplifies the system or circuit behavior description into a topology.

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