The GATE Grind

GATE Networks, Signals and Systems: Sinusoidal Steady State Analysis – Previous Year Questions

16 GATE previous year questions on Sinusoidal Steady State Analysis (Networks, Signals and Systems, Electronics and Communication Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EC Q17 (1 mark, Numerical answer) – In the circuit shown, the positive angular frequency (in radians per second) at which the magnitude of the phase difference between the voltages V 1…
  2. GATE 2017 EC Q44 (2 marks, Numerical answer) – The figure shows an RLC circuit excited by the sinusoidal voltage 100(3t) Volts, where t is in seconds. The ratio amplitude of V 2amplitude of V 1 is…
  3. GATE 2015 EC Q16 (1 mark, Numerical answer) – In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is .
  4. GATE 2015 EC Q42 (2 marks, Numerical answer) – In the given circuit, the maximum power (in Watts) that can be transferred to the load R L is .
  5. GATE 2016 EC Q41 (2 marks, Multiple choice) – A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel,…
  6. GATE 2018 EC Q45 (2 marks, Multiple choice) – For the circuit given in the figure, the voltage V c (in volts) across the capacitor is
  7. GATE 2019 EC Q40 (2 marks, Multiple choice) – In the circuit shown, if v(t)=2(1000t) volts, R=1\ k and C=1\ F, then the steady-state current i(t), in milliamperes (mA), is
  8. GATE 2020 EC Q26 (1 mark, Numerical answer) – The current in the RL-circuit shown below is i(t)=10(5t-/4) A. The value of the inductor (rounded off to two decimal places) is H.
  9. GATE 2020 EC Q38 (2 marks, Multiple choice) – The current I in the given network is
  10. GATE 2022 EC Q38 (2 marks, Multiple choice) – For the circuit shown, the locus of the impedance Z(j) is plotted as increases from zero to infinity. The values of R 1 and R 2 are:
  11. GATE 2022 EC Q39 (2 marks, Multiple choice) – Consider the circuit shown in the figure with input V(t) in volts. The sinusoidal steady state current I(t) flowing through the circuit is shown…
  12. GATE 2023 EC Q18 (1 mark, Multiple choice) – A series RLC circuit has a quality factor Q of 1000 at a center frequency of 106 rad/s. The possible values of R, L and C are
  13. GATE 2025 EC Q20 (1 mark, Multiple choice) – Let i C, i L, and i R be the currents flowing through the capacitor, inductor, and resistor, respectively, in the circuit given below. The AC…
  14. GATE 2025 EC Q39 (2 marks, Multiple choice) – In the circuit below, M 1 is an ideal AC voltmeter and M 2 is an ideal AC ammeter. The source voltage (in Volts) is v s(t)=100(200t). What should be…
  15. GATE 2026 EC Q31 (1 mark, Numerical answer) – Consider the circuit shown in the Figure, where the input v i(t) is in Volt. The average power (in mW) dissipated in the load resistance of 1 kΩ at…
  16. GATE 2026 EC Q39 (2 marks, Multiple choice) – In the given circuit, L=1 μH and C=1 μF. The phasor diagram for I C and I L is also shown. Assume that the phase ( 1+ 2) is 90° at a frequency of…