Question
Explain how electron mobility changes for a good conductor when (i) the temperature of the conductor is increased at constant potential difference and (ii) applied potential difference is double at constant temperature.
Solution
Electron mobility of a conductor is given by,

(i) When the temperature of the conductor increases at constant potential difference, the relaxation time (tau) of free electrons increases, so mobility μ increases.
(ii) If, the potential difference is doubled at a constant temperature, mobility remains unchanged because, mobility (μ) is independent of applied potential difference.

(i) When the temperature of the conductor increases at constant potential difference, the relaxation time (tau) of free electrons increases, so mobility μ increases.
(ii) If, the potential difference is doubled at a constant temperature, mobility remains unchanged because, mobility (μ) is independent of applied potential difference.