The GATE Grind

GATE Measurements: Voltage current and power measurement – Previous Year Questions

12 GATE previous year questions on Voltage current and power measurement (Measurements, Instrumentation Engineering) with answers and explanations, from every paper.

  1. GATE 2021 IN Q26 (1 mark, Numerical answer) – A 300 V, 5 A low-power-factor wattmeter has full-scale power 300 W. For loads on 300 V AC mains, the maximum power factor permitted at its rated…
  2. GATE 2021 IN Q52 (2 marks, Numerical answer) – A household fan consumes 60 W and draws 0.3125 A rms from 230 V rms, 50 Hz single-phase mains. Its reactive power is VAR (nearest integer).
  3. GATE 2021 IN Q59 (2 marks, Numerical answer) – A 400 V rms line-to-line, three-phase, three-wire RYB system is measured with two wattmeters as shown. R-line current is 560 A. R-line wattmeter W 1…
  4. GATE 2021 IN Q60 (2 marks, Numerical answer) – A 3½-digit rectifier-type digital meter is on its 2000 V range. It measures a symmetrical 50 Hz square wave of amplitude ±100 V. Its reading is V.
  5. GATE 2021 IN Q61 (2 marks, Numerical answer) – A bar-primary current transformer rated 1000/1 A, 5 VA, UPF has 995 secondary turns. At 1000 A and rated burden, its ratio error is zero and phase…
  6. GATE 2022 IN Q55 (2 marks, Numerical answer) – The balanced three-phase circuit shown has C 0=8.2 μF and line-to-line rms voltage 440 V at 50 Hz. The wattmeter reading is W (two decimal places).
  7. GATE 2023 IN Q34 (1 mark, Numerical answer) – The full-scale range of the wattmeter shown in the circuit is 100 W. The turns ratio of the individual transformers are indicated in the figure. The…
  8. GATE 2023 IN Q61 (2 marks, Numerical answer) – The sinusoidal source shown has frequency 50 Hz. The load voltage is 230 V RMS and impedance is 230/2+j230/2 Ω. Attenuator A 1=1/(502). The multiplier…
  9. GATE 2024 IN Q47 (2 marks, Multiple choice) – For the wattmeter circuit shown, define the following angles: : between load current and load voltage; : lag of pressure-coil current behind its…
  10. GATE 2025 IN Q21 (1 mark, Multiple choice) – In a single-phase AC circuit, a wattmeter measures power consumed by load resistance R L under excitation V S. The same meter is connected in Topology…
  11. GATE 2025 IN Q44 (2 marks, Multiple choice) – A balanced three-phase load is measured by the two-wattmeter method. Its per-phase average power is 30 kW at lagging power factor 3/2. The wattmeter…
  12. GATE 2026 IN Q49 (2 marks, Multiple choice) – If the definition of SI unit X is required to define SI unit Y, the dependency is indicated as X → Y. A valid order of dependencies, as per present…