A Resistance Temperature Detector (RTD) is a measurement device that changes its

Question

A Resistance Temperature Detector (RTD) is a measurement device that changes
its resistance based on the temperature. The resistance Rt at a temperature T (C)
as a function of temperature is given by:
Rt= R0(1 + A*T^2 + B*t+ C*T^4+ DT^6)
RT is the resistance of the measurement device at 0 °C and A = 5.485E-3, B = 6.65E-6, C= 2.805E-11, and D = -2E-17 are the constants. R0 is 100 .

(a)Use a bracketing method to determine the temperature when its resistance is 300
-Hint: the Client knows, based on testing in the lab, that the answer lies between 240 °C
and 280 °C

Explanation / Answer

Rt = 100*( 1 + 5.485*10^-3*T + 6.65*10^-6*T^2 + 2.805*10^-11*T^4 - 2*10^-17*T^6)

At T = (240+280)/2 = 260

Rt = 100*( 1 + 5.485*10^-3*260 + 6.65*10^-6*260^2 + 2.805*10^-11*260^4 - 2*10^-17*260^6) = 299.76 = 300 ohms

Hence

Temperature when its resistance is 300 = 260 °C

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