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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.
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gyrator and is
However, the small dimensions limit the inductance, and it is far more common to use a circuit called a " gyrator " that uses a capacitor and active components to behave similarly to an inductor.
The gyrator is a necessary element in analysis because it is not reciprocal.
It is not essential, however, to have both the transformer and gyrator.
Unlike the four conventional elements, the gyrator is non-reciprocal.
An important property of a gyrator is that it inverts the current-voltage characteristic of an electrical component or network.
Gyrator schematic labelledAn ideal gyrator is a linear two port device which couples the current on one port to the voltage on the other and vice versa.
where is the gyration resistance of the gyrator.
Although a gyrator is characterized by its resistance value, it is a lossless component.
From the governing equations, the instantaneous power into the gyrator is identically zero.
A gyrator is an entirely non-reciprocal device, and hence is represented by antisymmetric impedance and admittance matrices:
If the gyration resistance is chosen to be equal to the characteristic impedance of the two ports ( or to their geometric mean if these are not the same ), then the scattering matrix for the gyrator is
The symbol used to represent a gyrator in one-line diagrams ( where a waveguide or transmission line is shown as a single line rather than as a pair of conductors ), reflects this one-way phase shift.
As with a quarter wave transformer, if one of port of the gyrator is terminated with a linear load, then the other port presents an impedance inversely proportional to that of the load,
A generalization of the gyrator is conceivable, in which the forward and backward gyration conductances have different magnitudes, so that the admittance matrix is
Cascaded gyrators An ideal gyrator is similar to an ideal transformer in being a linear, lossless, passive, memoryless two-port device.
gyrator and linear
Although the gyrator was conceived as a fifth linear element, its adoption makes both the ideal transformer and either the capacitor or inductor redundant.
gyrator and proposed
Bernard D. H. Tellegen | Tellegen's proposed symbol for his gyrator Tellegen invented a circuit symbol for the gyrator and suggested a number of ways in which a practical gyrator might be built.
gyrator and by
Larger value inductors may be simulated by use of gyrator circuits.
gyrator and .
The gyrator, on the other hand, maps a voltage at one port to a current at the other.
Introduction of the gyrator also makes either capacitance or inductance non-essential since a gyrator terminated with one of these at port 2 will be equivalent to the other at port 1.
However, transformer, capacitance and inductance are normally retained in analysis because they are the ideal properties of the basic physical components transformer, inductor and capacitor whereas a practical gyrator must be constructed as an active circuit.
In other words, a gyrator can make a capacitive circuit behave inductively, a series LC circuit behave like a parallel LC circuit, and so on.
gyrator and transformer
However, whereas a transformer couples the voltage on port 1 to the voltage on port 2, and the current on port 1 to the current on port 2, the gyrator cross-couples voltage to current and current to voltage.
Cascading a transformer and a gyrator, or equivalently cascading three gyrators produces a single gyrator of gyration resistance.
is and passive
Many of these aspects will be seen as comparable to those of the ideal detective, but where the detective is active and militant, the jazz musician is passive, almost a victim of society.
In general, the approach is more active than passive, more out-reaching than reflective.
Clerfayt is neurotic, preoccupied, and passive.
In a passive solar home, this is called a Trombe wall.
The basic requirement for passive solar heating is that the solar collectors must face the prevailing sunlight ( south in the northern hemisphere, north in the southern hemisphere ), and the building must incorporate thermal mass to keep it warm in the night.
The water entry activates the torpedo, which is guided by its own sonar system, and homes in on the target using either active sonar or passive sonar.
A passive backplane, even if it is single, is not usually considered a SPOF.
Judges is remarkable for the number of female characters who " play significant roles, active and passive, in the narratives.
The story of Jonah is a drama between a passive man and an active God.
Jonah's passive character then is contrasted with the other main character: Yahweh ( sometimes explained as " I shall be what I shall be ", considered the Explicit Name and according to modern scholarly criticism a name of a local deity ).
Banquo's loyalty to Macbeth, rather than Malcolm, after Duncan's death makes him a passive accomplice in the coup: Malcolm, as Prince of Cumberland, is the rightful heir to the throne and Macbeth a usurper.
This inflation is a result of the passive uptake of water.
Earth is considered to be passive ; it is represented by the symbol for Taurus, and it is referred to the lower left point of the pentagram in the Supreme Invoking Ritual of the Pentagram.
Modern citizenship is much more passive ; action is delegated to others ; citizenship is often a constraint on acting, not an impetus to act.
According to this viewpoint, citizens are sovereign, morally autonomous beings with duties to pay taxes, obey the law, engage in business transactions, and defend the nation if it comes under attack, but are essentially passive politically, and their primary focus is on economic betterment.
In most cases, constructive contempt is considered to be in the realm of civil contempt because of its passive nature.
To deflect suspicion that he is Superman, Clark Kent adopted a largely passive and introverted personality with conservative mannerisms, a higher-pitched voice, and a slight slouch.
The advantage of LCDs is that they are passive light modulators reflecting light, which require much less power than light-emitting displays such as LEDs or VFDs.
While use of the term consumer is widespread among governmental, business and media organisations, many individuals and groups find the label objectionable because it assigns a limited and passive role to their activities.
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