A Colpitts oscillator is designed as a radio frequency oscillator. Which of the following statements is INCORRECT?

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  1. It operates on the principle of parallel resonance.
  2. In a Colpitts oscillator, two capacitors and an inductor form the feedback network.
  3. The frequency of oscillation is 
  4. An LC network is used in the design of Colpitts oscillators.

Answer (Detailed Solution Below)

Option 3 : The frequency of oscillation is 
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Detailed Solution

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Concept:

The Colpitts oscillator is a type of LC oscillator used to generate high-frequency sinusoidal oscillations, especially in RF applications.

It works based on the principle of LC parallel resonance and uses a combination of capacitors and inductors to determine its frequency of oscillation.

Explanation:

The formula provided in statement 3 is incorrect in the way it's expressed.

The correct frequency of oscillation is given by:

This is the equivalent capacitance of two capacitors in series.

Conclusion:

Statement 3 is incorrect due to the incorrect formula for the oscillation frequency in a Colpitts oscillator.

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