A cylindrical aluminium conductor of length and diameter is connected across a supply

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

Problem

A cylindrical aluminium conductor of length

2.0\,\text{m}

and diameter

3.0\,\text{mm}

is connected across a

5.0\,\text{V}

supply. The free–electron number density in aluminium is

6.0\times10^{28}\,\text{m}^{-3}

and the electron mobility is

3.8\times10^{-3}\,\text{m}^2\,\text{V}^{-1}\,\text{s}^{-1}

. (i) Calculate the current that flows through the conductor. (ii) Determine the drift velocity of electrons in the aluminium under these conditions.