513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
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Diffusive charge transport in aluminum

Aluminum has a electrical resistivity of ρ = 2.7 μΩ cm and a Hall constant RH = -3.5 × 10-11 m³/C at room temperature.

a) Calculate the density of valence electrons n, the electron mobility μ, and the scattering time τsc.

b) A voltage of 700 μV is applied across the length of a bar of aluminum with dimensions 1 mm × 1 mm × 20 mm. What is the current that flows and the drift velocity of the electrons?

c) A magnetic field of 1 T is applied perpendicular to the direction of the current flow. What is the Hall voltage that is measured?