GATE Electrical 2020 | Question: 53

Question

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, $R_{thermistor}=2\left ( 1+\alpha\:T \right )k\Omega$, where $\text{T}$ is the temperature in $^{\circ}C$. The temperature coefficient, $\alpha$, is $-\left ( 4\pm 0.25 \right ) \%/ ^{\circ}C$. Circuit parameters: $R_{1}=1\:k\Omega ,\:R_{2}=1.3\:k\Omega ,\:R_{3}=2.6\:k\Omega$. The error in the output signal (in $\text{V}$ , rounded off to $2$ decimal places) at $150^{\circ}C$ is ____________.