Question

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 Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

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 = \(\frac{R_2}{2R_1}\).