The GATE Grind

GATE Electric Circuits: Network solution methods: KCL, KVL, Node and Mesh analysis – Previous Year Questions

22 GATE previous year questions on Network solution methods: KCL, KVL, Node and Mesh analysis (Electric Circuits, Electrical Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EE Q28 (1 mark, Numerical answer) – The power supplied by the 25 V source in the figure shown below is W.
  2. GATE 2017 EE Q29 (1 mark, Numerical answer) – The equivalent resistance between the terminals A and B is .
  3. GATE 2015 EE Q28 (1 mark, Multiple choice) – The voltages developed across the 3\ and 2\ resistors shown in the figure are 6 V and 2 V respectively, with the polarity as marked. What is the power…
  4. GATE 2015 EE Q57 (2 marks, Numerical answer) – In the given circuit, the parameter k is positive, and the power dissipated in the 2\ resistor is 12.5 W. The value of k is .
  5. GATE 2016 EE Q25 (1 mark, Multiple choice) – R A and R B are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following…
  6. GATE 2016 EE Q27 (1 mark, Numerical answer) – In the portion of a circuit shown, if the heat generated in 5\ resistance is 10 calories per second, then heat generated by the 4\ resistance, in…
  7. GATE 2016 EE Q28 (1 mark, Numerical answer) – In the given circuit, the current supplied by the battery, in ampere, is .
  8. GATE 2016 EE Q65 (2 marks, Numerical answer) – In the circuit shown below, the node voltage V A is V.
  9. GATE 2018 EE Q17 (1 mark, Multiple choice) – The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is
  10. GATE 2018 EE Q18 (1 mark, Multiple choice) – In the figure, the voltages are v 1(t)=100( t), v 2(t)=100( t+/18) and v 3(t)=100( t+/36). The circuit is in sinusoidal steady state, and R L. P 1, P…
  11. GATE 2018 EE Q57 (2 marks, Numerical answer) – A three-phase load is connected to a three-phase balanced supply as shown in the figure. If V an=1000 V, V bn=100-120 V and V cn=100-240 V (angles are…
  12. GATE 2019 EE Q29 (1 mark, Numerical answer) – The current I flowing in the circuit shown below is amperes (round off to one decimal place).
  13. GATE 2019 EE Q52 (2 marks, Numerical answer) – The current I flowing in the circuit shown below in amperes is .
  14. GATE 2021 EE Q26 (1 mark, Numerical answer) – In the given circuit, for voltage V y to be zero, the value of should be . (Round off to 2 decimal places).
  15. GATE 2021 EE Q49 (2 marks, Numerical answer) – A three-phase balanced voltage is applied to the load shown. The phase sequence is RYB. The ratio I B I R is .
  16. GATE 2022 EE Q31 (1 mark, Numerical answer) – In the circuit shown below, the switch S is closed at t=0. The magnitude of the steady state voltage, in volts, across the 6\ resistor is . (round off…
  17. GATE 2022 EE Q55 (2 marks, Numerical answer) – In the circuit shown below, the magnitude of the voltage V 1 in volts, across the 8\ k resistor is . (round off to nearest integer)
  18. GATE 2023 EE Q32 (1 mark, Numerical answer) – For the circuit shown in the figure, V 1=8 V, DC and I 1=8 A, DC. The voltage V ab in Volts is (Round off to 1 decimal place).
  19. GATE 2023 EE Q52 (2 marks, Numerical answer) – The admittance parameters of the passive resistive two-port network shown in the figure are y 11=5\ S,\ y 22=1\ S,\ y 12=y 21=-2.5\ S The power…
  20. GATE 2024 EE Q12 (1 mark, Multiple choice) – The number of junctions in the circuit is
  21. GATE 2024 EE Q13 (1 mark, Multiple choice) – All the elements in the circuit are ideal. The power delivered by the 10 V source in watts is
  22. GATE 2024 EE Q48 (2 marks, Numerical answer) – Two passive two-port networks P and Q are connected as shown in the figure. The impedance matrix of network P is Z P=bmatrix40\ &60\ \\80\ &100\…