The GATE Grind

GATE Analog and Digital Electronics: Operational Amplifiers – Previous Year Questions

12 GATE previous year questions on Operational Amplifiers (Analog and Digital Electronics, Biomedical Engineering) with answers and explanations, from every paper.

  1. GATE 2020 BM Q38 (2 marks, Multiple choice) – For Vᵢₙ=10sin(2πt) applied to the circuit shown, which output waveform results? Both op-amps have ±12 V supplies. The second stage contains 100 kΩ,0.2…
  2. GATE 2021 BM Q43 (2 marks, Multiple choice) – All op-amps in the shown circuit are ideal with infinite gain and bandwidth. Find Vout/Vin.
  3. GATE 2021 BM Q61 (2 marks, Numerical answer) – The shown op-amp has ±10 V supplies. Its non-inverting node connects to ground through 2R and output through R; its inverting node connects to +10 V…
  4. GATE 2022 BM Q41 (2 marks, Multiple choice) – The op-amp/resistor/capacitor filter shown uses ideal op-amps with infinite gain and bandwidth. What R₂ in kΩ makes Vₒ(s)/Vᵢ(s) all-pass?
  5. GATE 2022 BM Q57 (2 marks, Numerical answer) – The shown ideal op-amp has infinite gain and bandwidth and ±10 V supplies. Inputs 0.1 V and 1 V connect via 1 kΩ to the inverting and non-inverting…
  6. GATE 2023 BM Q19 (1 mark, Multiple choice) – In the shown ideal-op-amp circuit, the parallel-plate capacitance is C= A/x, where ε is dielectric permittivity, A is plate area and x=x 0+kt is plate…
  7. GATE 2023 BM Q51 (2 marks, Multiple select) – For the shown ideal-op-amp circuit, which properties are true? The inverting terminal is grounded and the output is fed directly to the non-inverting…
  8. GATE 2025 BM Q15 (1 mark, Multiple choice) – The ideal op-amp circuit shown is driven by Vin=1 V and powered by ±15 V rails. Find Vout in volts.
  9. GATE 2025 BM Q52 (2 marks, Numerical answer) – Find the ideal summing op-amp output shown, in volts to the nearest integer. Inputs are 2 V through 5 kΩ, 2 V through 4 kΩ, 1 V through 2 kΩ; feedback…
  10. GATE 2025 BM Q54 (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.
  11. GATE 2026 BM Q48 (2 marks, Multiple choice) – For the ideal op-amp circuit shown, find input impedance looking into Vin.
  12. GATE 2026 BM Q55 (2 marks, Multiple select) – In the ideal instrumentation amplifier shown, one input-stage feedback resistor R* differs slightly from the other input-stage resistors R. Which…