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Gyrator Connection for Transformer Operation

IP.com Disclosure Number: IPCOM000085301D
Original Publication Date: 1976-Mar-01
Included in the Prior Art Database: 2005-Mar-02
Document File: 3 page(s) / 30K

IBM

Related People

Duvalsaint, JJ: AUTHOR [+2]

Abstract

The drawing shows transistors 2 and 3 connected to illustrate the operation of a gyrator circuit 4. (This simplified circuit is illustrational rather than operational.) A voltage V1 and current I1 appear at the left-hand or input pair of terminals and a voltage Va and current Ia appear at the right-hand or output pair of terminals. As the interconnection of the transistors 2 and 3 with these terminals represents, the input voltage is related to the output current and the input current is related to the output voltage. These relationships can be summarized in the following equations: V1 = -R1I2 (1) V2 = R1I1 (2).

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Gyrator Connection for Transformer Operation

The drawing shows transistors 2 and 3 connected to illustrate the operation of a gyrator circuit 4. (This simplified circuit is illustrational rather than operational.) A voltage V1 and current I1 appear at the left-hand or input pair of terminals and a voltage Va and current Ia appear at the right-hand or output pair of terminals. As the interconnection of the transistors 2 and 3 with these terminals represents, the input voltage is related to the output current and the input current is related to the output voltage. These relationships can be summarized in the following equations: V1 = -R1I2 (1)

V2 = R1I1 (2).

The term R1 represents the resistance at the input and output terminals which is not expressly shown in the drawing. When the output terminals of a gyrator are connected to a capacitive load, the voltage relaationships of equations 1 and 2 establish a corresponding inductor at the input terminal.

The circuit of the drawing has two gyrators that are connected to produce the effect of a transformer at the input terminals of the first gyrator and the output terminals of the second gyrator. This relationship can be understood from the following equations: Ia = C(d/dt) (Va - Vb) (3)

Vb = -R2I2 (4)

V2 = R2Ia (5).

Equation 3 shows the customary relationship between the current flow into capacitor C1 and the rate of change of the voltage across the capacitor, Va - Vb. Equations 4 and 5 are similar to equations 1 and 2. R2 is the resistance in the circuit of current I2. Equations 1 through 4 can be combined to give the following relationship between the input voltage, the inp...