IEVref:131-12-79ID:
Language:enStatus: Standard
Term: ideal gyrator
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Definition: two-terminal-pair network for which the sum of instantaneous powers at the two-terminal pairs is identically equal to zero and for which the ratio of the input voltage to the output electric current has a constant value R

NOTE 1 – For an ideal gyrator, the input voltage u1, the output voltage u2, the input current i1 and the output current i2 are related by the formula:

u 1 i 2 =− u 2 i 1 =R MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aadaWcaaqaaKqzGeGaamyDaOWaaSbaaSqaaKqzadGaaGymaaWcbeaa aOqaaiaadwhadaWgaaWcbaqcLbmacaaIYaaaleqaaaaajugibiabg2 da9iabgkHiTOWaaSaaaeaacaWGPbWaaSbaaSqaaKqzadGaaGOmaaWc beaaaOqaaKqzGeGaamyAaOWaaSbaaSqaaKqzadGaaGymaaWcbeaaaa qcLbsacqGH9aqpcaWGlbaaaa@4C38@

with the usual reference conventions for associated voltages and currents given for two-port networks in IEC 60375:2003, Clause 7.

NOTE 2 – Under sinusoidal conditions, the impedance Z1 seen at the input port is the product of the terminating admittance Y at the output port by the square of the constant R:

Z1 = R2Y

NOTE 3 – An ideal gyrator is a circuit element that neither stores nor dissipates energy. The gyrator as a device is defined in IEC 60050-726.


Publication date:2008-09
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Internal notes:2015-08-20: Tagging of variables corrected to be italic. JGO
2017-06-02: Cleanup - Remove Attached Image 131-12-79en.gif
2017-12-08: English equation corrected as per the mail from DE NC 2017-04-21. JGO
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