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GATE 2025 BM – Question 54

Analog and Digital Electronics · Operational Amplifiers · 2 marks · Numerical answer

The oscillator shown has R=1 kΩ,R1=2 kΩ,R2=6 kΩ,C=0.1 μF. Find its oscillation frequency in kHz, to two decimal places.

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Correct answer: 1.50 to 1.70

Explanation

This is a Wien-bridge oscillator with equal frequency-selective R,C elements. The zero-phase frequency is f0=1/(2πRC). Here RC=1000×10⁻⁷=10⁻⁴ s, giving f0≈1591.55 Hz=1.59 kHz. The amplifier resistor ratio controls loop gain; the frequency is set by the equal RC network.

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