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In a Wien bridge oscillator, it is found that at the frequency ωO there is no phase shift in RF/R gain loop and the phase shift of the amplifier is also zero. Then what is the equation for the radian frequency, given R1, C1 is the series network of bridge and R2, C2 is the parallel network?

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In a Wien bridge oscillator, it is found that at the frequency ωO there is no phase shift in RF/R gain loop and the phase shift of the amplifier is also zero. Then what is the equation for the radian frequency, given R1, C1 is the series network of bridge and R2, C2 is the parallel network?

(a) ωO=1/R1C1

(b) ωO=1/R2C2

(c) ωO=1/R1R2C1C2

(d) ωO=1/RFC1RC2

This question was posed to me in final exam.

This intriguing question comes from Weinbridge Oscillator topic in division Oscillators of Analog Circuits

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The correct choice is (c) ωO=1/R1R2C1C2

For explanation: For no phase shift for the amplifier, the frequency of the output is given by ωO = 1/R1R2C1C2 and RF/R = C1/C2 + R2/R1. When R1=R2 and C1=C2 then RF = 2R.

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