The GATE Grind

GATE Electric Circuits: Transient response of DC and AC networks, sinusoidal steady-state analysis, resonance, two port networks, balanced three phase circuits, star-delta transformation, complex power and power factor in AC circuits – Previous Year Questions

31 GATE previous year questions on Transient response of DC and AC networks, sinusoidal steady-state analysis, resonance, two port networks, balanced three phase circuits, star-delta transformation, complex power and power factor in AC circuits (Electric Circuits, Electrical Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EE Q19 (1 mark, Multiple choice) – A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a…
  2. GATE 2017 EE Q39 (2 marks, Multiple choice) – Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1. [Figure: Two-port network 1 and…
  3. GATE 2017 EE Q51 (2 marks, Multiple choice) – The switch in the figure below was closed for a long time. It is opened at t = 0. The current in the inductor of 2 H for t 0, is
  4. GATE 2015 EE Q30 (1 mark, Multiple choice) – An inductor is connected in parallel with a capacitor as shown in the figure. As the frequency of current i is increased, the impedance (Z) of the…
  5. GATE 2015 EE Q55 (2 marks, Numerical answer) – The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the AC source (in Volt) is given by v(t) = 12 t. If…
  6. GATE 2015 EE Q56 (2 marks, Numerical answer) – In a linear two-port network, when 10 V is applied to Port 1, a current of 4 A flows through Port 2 when it is short-circuited. When 5 V is applied to…
  7. GATE 2016 EE Q49 (2 marks, Numerical answer) – In the circuit shown, switch S 2 has been closed for a long time. At time t = 0 switch S 1 is closed. At t = 0+, the rate of change of current through…
  8. GATE 2016 EE Q62 (2 marks, Numerical answer) – In the circuit shown below, the supply voltage is 10(1000t) volts. The peak value of the steady state current through the 1 resistor, in amperes, is .
  9. GATE 2016 EE Q64 (2 marks, Numerical answer) – The circuit below is excited by a sinusoidal source. The value of R, in , for which the admittance of the circuit becomes a pure conductance at all…
  10. GATE 2018 EE Q41 (2 marks, Multiple choice) – A DC voltage source is connected to a series L-C circuit by turning on the switch S at time t=0 as shown in the figure. Assume i(0)=0, v(0)=0. Which…
  11. GATE 2018 EE Q58 (2 marks, Numerical answer) – The voltage across the circuit in the figure, and the current through it, are given by the following expressions: v(t)=5-10( t+60) V i(t)=5+X( t) A…
  12. GATE 2018 EE Q65 (2 marks, Numerical answer) – The voltage v(t) across the terminals a and b as shown in the figure, is a sinusoidal voltage having a frequency =100 radian/s. When the inductor…
  13. GATE 2019 EE Q22 (1 mark, Multiple choice) – In the circuit shown below, the switch is closed at t=0. The value of in degrees which will give the maximum value of DC offset of the current at the…
  14. GATE 2019 EE Q51 (2 marks, Numerical answer) – A 0.1 F capacitor charged to 100 V is discharged through a 1\ k resistor. The time in ms (round off to two decimal places) required for the voltage…
  15. GATE 2020 EE Q28 (1 mark, Numerical answer) – Currents through ammeters A2 and A3 in the figure are 110 and 170, respectively. The reading of the ammeter A1 (rounded off to 3 decimal places) is A.
  16. GATE 2020 EE Q55 (2 marks, Numerical answer) – A resistor and a capacitor are connected in series to a 10 V dc supply through a switch. The switch is closed at t=0, and the capacitor voltage is…
  17. GATE 2021 EE Q24 (1 mark, Numerical answer) – In the given circuit, the value of capacitor C that makes current I=0 is F.
  18. GATE 2021 EE Q30 (1 mark, Numerical answer) – The Bode magnitude plot for the transfer function V o(s)V i(s) of the circuit is as shown. The value of R is . (Round off to 2 decimal places.)
  19. GATE 2021 EE Q31 (1 mark, Numerical answer) – A signal generator having a source resistance of 50\ is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak.…
  20. GATE 2021 EE Q39 (2 marks, Multiple choice) – In the circuit, switch 'S' is in the closed position for a very long time. If the switch is opened at time t=0, then i L(t) in amperes, for t0 is
  21. GATE 2022 EE Q21 (1 mark, Multiple choice) – In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 1003 V with phase sequence…
  22. GATE 2022 EE Q27 (1 mark, Numerical answer) – An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall Q-factor of the circuit is . (round…
  23. GATE 2022 EE Q28 (1 mark, Numerical answer) – The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is . (round off to nearest integer)
  24. GATE 2022 EE Q34 (1 mark, Numerical answer) – Two balanced three-phase loads, as shown in the figure, are connected to a 1003 V, three-phase, 50 Hz main supply. Given Z 1=(18+j24)\ and Z 2=(6+j8)\…
  25. GATE 2023 EE Q29 (1 mark, Numerical answer) – The value of parameters of the circuit shown in the figure are R 1=2\ , R 2=2\ , R 3=3\ , L=10 mH, C=100\ F For time t<0, the circuit is at steady…
  26. GATE 2023 EE Q54 (2 marks, Numerical answer) – The circuit shown in the figure is initially in the steady state with the switch K in open condition and K in closed condition. The switch K is closed…
  27. GATE 2024 EE Q14 (1 mark, Multiple choice) – The circuit shown in the figure with the switch S open, is in steady state. After the switch S is closed, the time constant of the circuit in seconds…
  28. GATE 2025 EE Q57 (2 marks, Numerical answer) – The switch (S) closes at t=0 sec. The time, in sec, the capacitor takes to charge to 50 V is (round off to one decimal place).
  29. GATE 2026 EE Q26 (1 mark, Multiple choice) – A single-phase voltage source v s=325(250t) V delivers a current, i=12(250t)+9(2150t) A to a load. The load power factor, correct up to two decimal…
  30. GATE 2026 EE Q42 (2 marks, Multiple choice) – An electrical component has voltage drop v=V m( t), when the current through it is i=I m( t-). What is the average power dissipated over a half cycle…
  31. GATE 2026 EE Q43 (2 marks, Multiple choice) – The electrical network shown has an independent voltage source (10 V) and a current source (1 u(t) mA). The voltage across the capacitor at time…