The GATE Grind

GATE Sensors and Industrial Instrumentation: Resistive capacitive and inductive sensors – Previous Year Questions

14 GATE previous year questions on Resistive capacitive and inductive sensors (Sensors and Industrial Instrumentation, Instrumentation Engineering) with answers and explanations, from every paper.

  1. GATE 2021 IN Q28 (1 mark, Numerical answer) – A strain gauge of nominal resistance 1000 Ω has gauge factor 2.5. At applied strain 100 μm/m, its resistance becomes Ω (two decimal places).
  2. GATE 2021 IN Q63 (2 marks, Numerical answer) – The full bridge shown uses linear strain gauges with gauge factor 2. At 0 °C and zero strain, R 1=R 2=R 3=R 4=100\ . Their temperature coefficient is…
  3. GATE 2023 IN Q12 (1 mark, Multiple choice) – Inductance of a coil is measured as 10 mH, using an LCR meter, when no other objects are present near the coil. The LCR meter uses a sinusoidal…
  4. GATE 2023 IN Q51 (2 marks, Numerical answer) – A wire-wound ‘resistive potentiometer type' angle sensor with 72 turns is used in an application. The first turn of the potentiometer is connected to…
  5. GATE 2023 IN Q52 (2 marks, Numerical answer) – The two secondaries of a linear variable differential transformer (LVDT) showed a magnitude of 2 V (RMS) for zero displacement position of the core.…
  6. GATE 2024 IN Q15 (1 mark, Multiple choice) – The parallel-plate capacitor shown has plate area A. Its dielectric-layer thicknesses are d 1,d 2 and relative permittivities 1=1 (air), 2 (solid),…
  7. GATE 2024 IN Q52 (2 marks, Numerical answer) – Consider the capacitive sensor circuit and its output voltage shown in the figure. The circuit is switched ON at t = 0. Assuming the opamp to be…
  8. GATE 2024 IN Q56 (2 marks, Numerical answer) – A shielded cable with C stray=20 pF and R wire=10 Ω connects the inductive sensors shown. The RMS value of V out is V (two decimal places). All…
  9. GATE 2025 IN Q14 (1 mark, Multiple choice) – The primary coil of the LVDT shown is supplied with AC voltage. Its secondary coils are connected in series opposition, with output measured by a true…
  10. GATE 2025 IN Q15 (1 mark, Multiple choice) – Four identical strain gauges S1, S2, S3, and S4 are mounted on the cantilever force transducer at equal distance from its base. S1 and S2 are on the…
  11. GATE 2025 IN Q53 (2 marks, Numerical answer) – A metallic strain gauge of resistance R SG is connected as shown, with lead resistances R L1,R L2,R L3. Gauge factor is 2 and nominal resistance R…
  12. GATE 2025 IN Q57 (2 marks, Numerical answer) – The shown air-filled parallel-plate electrostatic actuator has plate area 100\ m100\ m. With zero charge and spring restoring force, the plate gap is…
  13. GATE 2026 IN Q25 (1 mark, Multiple choice) – Active strain gauges are connected in a half-bridge configuration to measure strain in a cantilever element. When powered by a voltage source of 10\…
  14. GATE 2026 IN Q50 (2 marks, Multiple choice) – A parallel-plate capacitive displacement sensor has a plate area of 2\ cm2. The air gap between the plates is decreased by 0.1 mm from an initial…