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==Basic operation== Assuming, as a first-order approximation, that the relationship between resistance and temperature is [[linear]], then : <math>\Delta R = k\,\Delta T,</math> where : <math>\Delta R</math>, change in resistance, : <math>\Delta T</math>, change in temperature, : <math>k</math>, first-order [[Temperature coefficient|temperature coefficient of resistance]]. Depending on type of the thermistor in question the <math>k</math> may be either positive or negative. If <math>k</math> is [[Positive number|positive]], the resistance increases with increasing temperature, and the device is called a [[Temperature coefficient#Positive temperature coefficient of resistance|''positive-temperature-coefficient'']] (''PTC'') ''thermistor'', or ''posistor''. There are two types of PTC resistor{{dash}}''switching thermistor'' and ''silistor''. If <math>k</math> is negative, the resistance decreases with increasing temperature, and the device is called a [[Temperature coefficient#Negative temperature coefficient|''negative-temperature-coefficient'']] (''NTC'') ''thermistor''. Resistors that are not thermistors are designed to have a <math>k</math> as close to 0 as possible so that their resistance remains nearly constant over a wide temperature range. Instead of the temperature coefficient ''k'', sometimes the ''temperature coefficient of resistance'' <math>\alpha_T</math> ("alpha sub T") is used. It is defined as<ref name="Thermistor Terminology">[https://www.littelfuse.com/technical-resources/technical-centers/temperature-sensors/thermistor-info/thermistor-terminology.aspx Thermistor Terminology]. Littlefuse Technical Resources.</ref> : <math>\alpha_T = \frac{1}{R(T)} \frac{dR}{dT}.</math> This <math>\alpha_T</math> coefficient should not be confused with the <math>a</math> parameter below.
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