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An iron-constantan thermocouple is to be used to measure temperatures between 0 and 400 degrees Celsius. What will be the non-linearity error as a percentage of the full-scale reading at 100 degrees Celsius if a linear relationship is assumed between e.m.f. and temperature?

Given:
- E.M.F. at 100 degrees Celsius = 5.268 mV
- E.M.F. at 400 degrees Celsius = 21.846 mV

Answer :

The non-linearity error as a percentage of the full-scale reading at 100 degree C is - 0.89%.

What is non-linearity error?

Non-linearity error is defined as the biggest deviation from a straight line linking the output signal to the applied force, known as the "best straight," that the calibration curve makes. In order to eliminate second order nonlinearity, the sensor signal conditioning system feeds a portion of the output signal back to the sensor.

If EMF and Celsius temperature have a proportional relationship, then the recorded value of EMF at 100 °C will be understood to be a temperature of.

T/5.268 = 400/21.846

T = 5.268(400/21.846) ≈ 96.457 °C

As a percentage of the full scale, the mistake is

(96.457 -100)/400 × 100% ≈ -0.886%

Thus, the non-linearity error as a percentage of the full-scale reading at 100 degree C is - 0.89%.

To learn more about non-linearity error, refer to the link below:

https://brainly.com/question/14888641

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