A uniform silver wire is used as a current lead in a laboratory experiment.

PHYSICS · Multi-part · CBSE · Physics · Current Electricity · Current Electricity

Problem

A uniform silver wire is used as a current lead in a laboratory experiment. (i) Define electronic mobility and explain how it is related to drift velocity and the electric field inside a conductor. (ii) The wire is 2.0 m2.0\,\text{m} long and 1.0 mm1.0\,\text{mm} in diameter. It carries a steady current of 5.0 A5.0\,\text{A} when a potential difference of 1.0 V1.0\,\text{V} is applied across its ends. The free-electron density in silver is 5.8×1028 m−35.8 \times 10^{28}\, m^{-3}. Calculate the mobility of electrons in the wire. (iii) Using the result of part (ii), determine the drift velocity of electrons. (iv) If the applied potential difference is doubled while the temperature remains constant, state quantitatively how the drift velocity and the mobility will change.

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