The GATE Grind

GATE Electrical Circuits: AC Circuits and Resonance – Previous Year Questions

11 GATE previous year questions on AC Circuits and Resonance (Electrical Circuits, Biomedical Engineering) with answers and explanations, from every paper.

  1. GATE 2020 BM Q40 (2 marks, Multiple choice) – Two parallel loads draw 10 kW at unity power factor and 10 kVA at 0.6 lagging power factor. What nearest capacitor-bank rating in kVAr gives overall…
  2. GATE 2021 BM Q14 (1 mark, Multiple choice) – An ideal 1/3 H inductor is connected to a 50 Hz sinusoidal voltage source. The energy stored is stated as 6 J. Find the maximum power delivered to the…
  3. GATE 2022 BM Q33 (1 mark, Numerical answer) – A series circuit with R=10 Ω, L=50 mH and C=100 μF consumes power P from a 200 V,50 Hz supply. Change only L so that power remains P but power factor…
  4. GATE 2022 BM Q54 (2 marks, Numerical answer) – A series RLC circuit uses a 220 V,50 Hz supply. R and C are fixed and L is varied to maximize current. At the maximum, current is 0.4 A and capacitor…
  5. GATE 2023 BM Q32 (1 mark, Numerical answer) – In the shown series RC circuit, the resistor- and capacitor-voltage amplitudes are equal. With R=1 kΩ, C=100 μF and source 100cos(ω₀t) V, find ω₀ in…
  6. GATE 2023 BM Q42 (2 marks, Multiple choice) – For the shown series RLC circuit, R=10 kΩ, L=10 mH and C=1 μF. The resistor-voltage amplitude equals the source-voltage amplitude. Find ω₀ in rad/s.…
  7. GATE 2024 BM Q56 (2 marks, Numerical answer) – The shown parallel circuit has L=1 H,C=1 F,R=2 Ω and current source I=sin(t) A. It is in sinusoidal steady state. Find v at t=π/2 s, in volts to two…
  8. GATE 2024 BM Q61 (2 marks, Numerical answer) – A voltage v(t)=v0+2cos(ω0t)+5cos(3ω0t)+cos(5ω0t) drives the shown series capacitor and 1 Ω resistor. The capacitor is a short for every AC component…
  9. GATE 2025 BM Q37 (2 marks, Multiple choice) – Voltage V s=5(100t+/2) V drives current I=10(100t+/6) mA. Find average dissipated power in mW.
  10. GATE 2025 BM Q40 (2 marks, Multiple choice) – Vin=10cos(1000t) V drives the shown 3 kΩ resistor in series with a parallel 1 kΩ–1 μF branch. Find input-impedance magnitude in kΩ to one decimal…
  11. GATE 2025 BM Q55 (2 marks, Numerical answer) – A series RLC circuit has Vrms=240 V,R=60 Ω,L=10 mH,C=8 μF. Find RMS current at resonance, nearest integer amperes.