Thermistors measure temperature, have a nonlinear output and are valued for a limited range. So when a thermistor is manufactured, the manufacturer supplies a resistance vs. temperature curve. An accurate representation of the curve is generally given by = a₁ + a₂ ln(R) + a₂ {ln (R)}² +a, {In (R)}³ where T is temperature in Kelvin, R is resistance in ohms, and a, a, a, a, are constants of the calibration curve. Given the following for a thermistor R T ohm °C 1101.0 25.115 911.S 30.151 636.0 40.120 451.1 50.128 Approximate the value of temperature in °C for a measured resistance of 900 ohms. (Use any method)
Thermistors measure temperature, have a nonlinear output and are valued for a limited range. So when a thermistor is manufactured, the manufacturer supplies a resistance vs. temperature curve. An accurate representation of the curve is generally given by = a₁ + a₂ ln(R) + a₂ {ln (R)}² +a, {In (R)}³ where T is temperature in Kelvin, R is resistance in ohms, and a, a, a, a, are constants of the calibration curve. Given the following for a thermistor R T ohm °C 1101.0 25.115 911.S 30.151 636.0 40.120 451.1 50.128 Approximate the value of temperature in °C for a measured resistance of 900 ohms. (Use any method)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Thermistors measure temperature, have a nonlinear output and are valued for a limited
range. So when a thermistor is manufactured, the manufacturer supplies a resistance vs.
temperature curve. An accurate representation of the curve is generally given by
= a₁ + a₂ ln(R) + a₂ {ln (R)}² + a₂ {ln (R)}³
where T is temperature in Kelvin, R is resistance in ohms, and a 9₁, 9₂, a are constants of
the calibration curve.
Given the following for a thermistor
R
T
ohm
°C
1101.0 25.115
911.S 30.151
656.0
40.120
451.1
50.128
Approximate the value of temperature in °C for a measured resistance of 900 ohms. (Use
any method)
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