Consider a sinusoidal oscillator formed by connecting an amplifier with a gain of 2 and

Chapter 18, Problem 18.1

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QUESTION:

Consider a sinusoidal oscillator formed by connecting an amplifier with a gain of 2 and a second-order bandpass filter in a feedback loop. Find the pole frequency and the center-frequency gain of the filter needed to produce sustained oscillations at 1 kHz.

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QUESTION:

Consider a sinusoidal oscillator formed by connecting an amplifier with a gain of 2 and a second-order bandpass filter in a feedback loop. Find the pole frequency and the center-frequency gain of the filter needed to produce sustained oscillations at 1 kHz.

ANSWER:

Step 1 of 5

The following are given by question:

The gain of the amplifier,

Sustained frequency,

We know the feedback factor,

Here,  is the sustain frequency,  is the pole frequency and pole is denoted by  .

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