The relaxation time in conductors

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(B) In conductors,the resistivity $ho$ is related to the relaxation time $	au$ by the formula $ho = \frac{m}{ne^2	au}$,where $m$ is the mass of

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Decreases with the increase of temperature

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(B) In conductors,the resistivity $ho$ is related to the relaxation time $	au$ by the formula $ho = \frac{m}{ne^2	au}$,where $m$ is the mass of the electron,$n$ is the number density of electrons,and $e$ is the charge of the electron.As the temperature increases,the thermal velocity of the electrons increases,leading to more frequent collisions between electrons and the lattice ions.This increase in collision frequency reduces the average time between successive collisions,which is known as the relaxation time $	au$.Therefore,as temperature increases,the relaxation time $	au$ decreases,which in turn causes the resistivity $ho$ to increase.

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