Relationship to the ideal transformer

An ideal gyrator is similar to an ideal transformer in beingIC04-P51

 a linear, lossless, passive, memoryless two-port device. However, whereas a transformer couples the voltage on port 1 to the voltage onH7660SCBA

 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 two gyratorsHT7033

 achieves a voltage-to-voltage coupling identical to that of an ideal transformer.Cascaded gyrators of gyration resistance and are equivalent to a transformer of turns ratio . Cascading74C922

 a transformer and a gyrator, or equivalently cascading three gyrators produces a single gyrator of gyration resistance .From the point of view of network theory, transformers are redundant when gyratorsmc34129p

 are available. Anything that can be built from resistors, capacitors, inductors, transformers and gyrators, can also be built using just resistors, gyrators and inductors (or capacitors)