Question

Which microscopic relation for resistivity is given in terms of conductivity, electron mass, free-electron number density, electronic charge, and average relaxation time?

Options

• \[\rho=\frac{1}{\sigma}=\frac{m}{ne^2\tau}\]

• \[\rho=\sigma=\frac{ne^2\tau}{m}\]

• \[\rho=\frac{\tau}{mne^2}\]

• \[\rho=\frac{mne^2}{\tau}\]

Answer 1

The microscopic relation is \(\rho=\frac{1}{\sigma}=\frac{m}{ne^2\tau}\). It relates resistivity to conductivity and to properties of electrons in the material.