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GATE EE 2020 Set 1 — Question 63

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NAT+2 / -0HardError AnalysisMeasurement PrinciplesElectrical & Electronic MeasurementsInverting & Non-InvertingOperational AmplifiersAnalog & Digital Electronics

Analog & Digital Electronics → Measurement Principles → Error Analysis

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The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperature-dependent resistance, Rthermistor=2(1+αT) kΩR_{\text{thermistor}} = 2(1 + \alpha T)\text{ k}\Omega, where TT is the temperature in ∘C^\circ\text{C}. The temperature coefficient, α\alpha, is −(4±0.25)%/∘C-(4 \pm 0.25)\% / ^\circ\text{C}. Circuit parameters: R1=1 kΩR_1 = 1\text{ k}\Omega, R2=1.3 kΩR_2 = 1.3\text{ k}\Omega, R3=2.6 kΩR_3 = 2.6\text{ k}\Omega. The error in the output signal (in V, rounded off to 2 decimal places) at 150∘C150^\circ\text{C} is ______.
A circuit diagram showing a 3V source connected to a thermistor and R1 in a voltage divider configuration, feeding into the non-inverting terminal of an op-amp. The inverting terminal is connected to a 0.1V source via R2 and has a feedback resistor R3 connected to the output Vout.

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