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GATE 2021 IN – Question 28

Sensors and Industrial Instrumentation · Resistive capacitive and inductive sensors · 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).

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Correct answer: 1000.25 to 1000.25

Explanation

Gauge factor GF=(ΔR/R)/ε. Here ε=100×10⁻⁶ and ΔR=1000·2.5·100×10⁻⁶=0.25 Ω. Add this positive change to the nominal resistance: **1000.25 Ω**.