Attenuation of the Feedback Circuit in an Oscillator

Introduction:
In an oscillator, the feedback circuit is responsible for providing the necessary feedback to sustain oscillations. The attenuation of the feedback circuit is a crucial factor that determines the stability and gain of the oscillator. In this case, we are given that Av (voltage gain) is 50 and we need to find the attenuation of the feedback circuit.

Understanding Attenuation:
Attenuation refers to the reduction in signal amplitude as it passes through a circuit or medium. It is usually quantified using the decibel (dB) scale, which is a logarithmic measurement of the ratio of output power to input power.

Determining Attenuation:
To determine the attenuation of the feedback circuit, we need to consider the relationship between the voltage gain (Av) and attenuation (A). The relationship can be expressed as:

Av = 1 / A

This means that the gain of the amplifier (Av) is inversely proportional to the attenuation of the feedback circuit (A). In other words, higher attenuation results in lower gain and vice versa.

Solving the Problem:
Given that Av = 50, we can use the relationship mentioned above to find the attenuation (A) of the feedback circuit.

Av = 1 / A

Substituting the given value:

50 = 1 / A

Now, we can solve for A by taking the reciprocal of both sides:

1 / 50 = A

Simplifying the expression:

A = 0.02

Therefore, the attenuation of the feedback circuit must be 0.02.

Conclusion:
In an oscillator, the attenuation of the feedback circuit is crucial for maintaining stable oscillations. In this case, the given voltage gain (Av) of 50 corresponds to an attenuation (A) of 0.02. This relationship between gain and attenuation helps us understand the behavior and design of oscillators.