The GATE Grind

GATE Networks, Signals and Systems: Time and Frequency Domain Analysis of Linear Circuits – Previous Year Questions

13 GATE previous year questions on Time and Frequency Domain Analysis of Linear Circuits (Networks, Signals and Systems, Electronics and Communication Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EC Q45 (2 marks, Numerical answer) – In the circuit shown, the voltage V IN(t) is described by: V IN(t) = cases 0, & for t < 0 \\ 15 Volts, & for t 0 cases where t is in seconds. The time…
  2. GATE 2015 EC Q40 (2 marks, Multiple choice) – The damping ratio of a series RLC circuit can be expressed as
  3. GATE 2015 EC Q41 (2 marks, Numerical answer) – In the circuit shown, switch SW is closed at t = 0. Assuming zero initial conditions, the value of v c(t) (in Volts) at t = 1 sec is .
  4. GATE 2016 EC Q42 (2 marks, Multiple choice) – A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t = 0). Match the…
  5. GATE 2018 EC Q46 (2 marks, Numerical answer) – For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to three decimal places) 0.5 second after closing the…
  6. GATE 2019 EC Q51 (2 marks, Numerical answer) – The RC circuit shown below has a variable resistance R(t) given by the following expression: R(t)=R 0(1- tT)for 0 t<T where R 0=1\ , and C=1 F. We are…
  7. GATE 2021 EC Q38 (2 marks, Multiple choice) – The switch in the circuit in the figure is in position P for a long time and then moved to position Q at time t=0. The value of dv(t)dt at t=0+ is
  8. GATE 2021 EC Q48 (2 marks, Numerical answer) – In the circuit shown in the figure, the switch is closed at time t=0, while the capacitor is initially charged to -5 V (i.e., v c(0)=-5 V). The time…
  9. GATE 2021 EC Q57 (2 marks, Numerical answer) – The circuit in the figure contains a current source driving a load having an inductor and a resistor in series, with a shunt capacitor across the…
  10. GATE 2023 EC Q35 (1 mark, Numerical answer) – In the circuit shown below, switch S was closed for a long time. If the switch is opened at t=0, the maximum magnitude of the voltage V R, in volts,…
  11. GATE 2023 EC Q44 (2 marks, Multiple choice) – The switch S 1 was closed and S 2 was open for a long time. At t=0, switch S 1 is opened and S 2 is closed, simultaneously. The value of i c(0+), in…
  12. GATE 2024 EC Q32 (1 mark, Numerical answer) – In the circuit given below, the switch S was kept open for a sufficiently long time and is closed at time t=0. The time constant (in seconds) of the…
  13. GATE 2026 EC Q23 (1 mark, Multiple choice) – The relation between the input current (I) and the output voltage (V) of a circuit is governed by the equation: CdVdt=I(t)-m(t). The circuit is…