Question
Download Solution PDFA Colpitts oscillator is designed as a radio frequency oscillator. Which of the following statements is INCORRECT?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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:
\( \omega = \frac{1}{\sqrt{L \cdot C_{eq}}} \), where \( C_{eq} = \frac{C_1 C_2}{C_1 + C_2} \)
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.
Last updated on Jun 7, 2025
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