Draft:Antoniou Inductor Simulator Circuit

The Antoniou Inductor Simulator Circuit, also known as the Antoniou Gyrator Circuit, is a circuit which simulates an inductor using a network of resistors, capacitors, and op-amps. The circuit is used in signal processing filters where using an inductor would be costly or otherwise impracticable. The purpose of the circut is to emulate the voltage-current characteristic of an inductor:

$v(t)=L{\frac {di(t)}{dt}}$

Where:

• $v(t)$ is the voltage across the inductor
• $L$ is the inductance of the inductor
• ${\frac {di(t)}{dt}}$ is the derivative of the current through the inductor with respect to time

General Case

The circuit has four resistors and one capacitor. Assuming the op-amps are ideal, the voltages at their input terminals are equal, and no current enters the op-amps.

Applications

Signal processing filters

In signal processing, the Antoniou Inductor Simulator circuit is used to simulate the voltage-current relationship of an inductor. The circuit is useful in that it simulates the electrical properties of an inductor without producing an inductor's magnetic effects, thereby preventing interference.