In the temperature range between 0C and 700C the resistanceR [in ohms ()] of a certain
Chapter 2, Problem 62(choose chapter or problem)
In the temperature range between \(0^{\circ} \mathrm{C}\) and \(700^{\circ} \mathrm{C}\) the resistance R [in ohms \((\Omega)\)] of a certain platinum resistance thermometer is given by
\(R=10+0.04124 T-1.779 \times 10^{-5} T^{2}\)
where T is the temperature in degrees Celsius. Where in the interval from \(0^{\circ} \mathrm{C}\) to \(700^{\circ} \mathrm{C}\) is the resistance of the thermometer most sensitive and least sensitive to temperature changes? [Hint: Consider the size of \(d R / d T\) in the interval \(0 \leq T \leq 700\).]
Equation Transcription:
Text Transcription:
0 degrees C
700 C
(omega)
R=10+0.04124T-1.779×10^-5T^2
dR/dT
0 less than or equal to T less than or equal 700
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