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Current Electricity

Question
CBSEENPH12037914

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,

                  box enclose straight mu space equals space eτ over straight m end enclose space space and space space box enclose straight tau proportional to straight T end enclose

(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.

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