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In the circuit given below, C= C1 = C2. The gain of the multiple-feedback band-pass filter is ___________(a) A0 = \(\frac{R_2}{R_1}\)(b) A0 = \(\frac{R_1}{R_2}\)(c) A0 = \(\frac{R_2}{2R_1}\)(d) A0 = \(\frac{R_1}{2R_2}\)I got this question during an internship interview.This is a very interesting question from Advanced Problems on Filters in section Filters and Attenuators of Network Theory

Answer»

Right CHOICE is (c) A0 = \(\FRAC{R_2}{2R_1}\)

Explanation: The total output C = CINPUT + COUTPUT that is the GAIN capacitor.

∴ The total RESISTANCE is equal to the Resistance INPUT and Resistance output.

Again, the total resistance gain = \(\frac{R_1 R_2}{R_1 + R_2}\)

Hence, the gain = A0 = \(\frac{R_2}{2R_1}\).



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