The solids which have the negative temperature coefficient of resistance are:
insulators only
semiconductors only
insulators and semiconductors
metals
The resistivity of a material is given by . For insulators and semiconductors, the number density of free charge carriers () increases exponentially with an increase in temperature. This increase in more than compensates for any decrease in the relaxation time (). As a result, their resistivity () and resistance decrease with an increase in temperature, which means they possess a negative temperature coefficient of resistance. In contrast, metals have a positive temperature coefficient of resistance because their charge carrier density is nearly independent of temperature, while the relaxation time decreases due to more frequent collisions at higher temperatures.
Join thousands of students and practice with AI-generated mock tests.