   Chapter 17, Problem 25P

Chapter
Section
Textbook Problem

Digital thermometers often make use of thermistors, a type of resistor with resistance that varies with temperature more than standard resistors. Find the temperature coefficient of resistivity for a linear thermistor with resistances of 75.0 Ω at 0.00°C and 275 Ω at 525°C.

To determine
The temperature coefficient of resistivity of thermistor.

Explanation

Given Info: The resistances of thermistor at 0.00°C and 525°C is 75.0Ω and 275Ω respectively.

Explanation:

Formula to calculate the temperature coefficient of resistance is

α=RR0R0(TT0)

• R is the resistance at some temperature T ,
• R0 is the resistance at some reference temperature T0 ,
• α is the temperature coefficient of resistivity of material of thermistor,

Substitute 75.0Ω for R0 , 275Ω for R 0.00°C for T0 and 525°C for T to find α

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