Thermistor calibration problem. Suppose you calibrate a thermistor by inserting

Question

Thermistor calibration problem. Suppose you calibrate a thermistor by inserting it first in ice water, then in boiling water. In ice water, the thermistor reads -38 mV and in boiling water it reads 205 mV. Next you measure the temperature of an unknown sample and read 107 mV. What is the temperature in oC?

___________ oC Thermistor calibration problem. Suppose you calibrate a thermistor by inserting it first in ice water, then in boiling water. In ice water, the thermistor reads -38 mV and in boiling water it reads 205 mV. Next you measure the temperature of an unknown sample and read 107 mV. What is the temperature in oC?

___________ oC

Explanation / Answer

in ice water, t1 = 0 oC, reading r1 = -38 mV in boiling water, t2 = 100 oC, reading r2 = 205 mV r = A + Bt r1 = A + B*t1 r2 = A + B*t2 so r2 - r1 = B(t2 - t1) B = (r2 - r1)/(t2 - t1) = 2.43 mV A = -38 mV so r = -38 + 2.43*t now r = 107 mV, t = (107 + 38)/2.43 = 59.7 degrees

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