Question

A platinum resistance temperature detector has a resistance of 100.00 V at 0°C, 138.50 V at 100°C and 175.83 V at 200°C. What will be the nonlinearity error in °C at 100°C if the detector is assumed to have a linear relationship between 0 and 200°C?

Answer 1

about 1.54 °C

Step-by-step explanation:

The error will be the difference between the temperature interpreted from the resistance value and the actual temperature. The linear equation used to translate the resistance reading to temperature will be ...

T = (200 -0)/(175.83 -100.00)(R -100.00)

T ≈ 2.637479(R -100)

At the temperature of 100°C, the resistance value of 138.50 will be interpreted to be a temperature of ...

T = 2.637479(138.50 -100) ≈ 101.543°C

This represents an error of 1.543°C relative to the actual temperature.