GATE EC 2025 Set 1 — Question 34

NAT+1 / -0MediumActive Filters (Sallen-Key)Op-Amp CircuitsAnalog Circuits

Analog Circuits → Op-Amp Circuits → Active Filters (Sallen-Key)

Last updated 5 September 2026

Question

-3

H(s) = -\frac{Z_f}{Z_i} = -\frac{R_f || C_f}{R_i + C_i} = -\frac{\frac{2R}{1 + 0.2RCs}}{R + \frac{1}{10Cs}} = -\frac{20RCs}{(1 + 0.2RCs)(1 + 10RCs)}

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H(s) = -\frac{Z_f}{Z_i} = -\frac{R_f || C_f}{R_i + C_i} = -\frac{\frac{2R}{1 + 0.2RCs}}{R + \frac{1}{10Cs}} = -\frac{20RCs}{(1 + 0.2RCs)(1 + 10RCs)}

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