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2. Temperature dependence of resistance in the Drude model We consider copper, which has a density of 8960 kg/m³, an atomic weight of 63.55 g/mol, and a room-temperature resistivity of p 1.68 x 10-m. Each copper atom provides one free electron. (a) Calculate the Drude scattering time 7 at room temperature. 8KBT calculate mm (b) Assuming that electrons move with the thermal velocity (v) the electron mean free path A, defined as the average distance an electron travels in between scattering events. = (c) The Drude model assumes that is independent of temperature. How does the electrical resistivity p depend on temperature under this assumption? Sketch p(T).

2. Temperature dependence of resistance in the Drude model We consider copper, which has a density of 8960 kg/m³, an atomic weight of 63.55 g/mol, and a room-temperature resistivity of p 1.68 x 10-m. Each copper atom provides one free electron. (a) Calculate the Drude scattering time 7 at room temperature. 8KBT calculate mm (b) Assuming that electrons move with the thermal velocity (v) the electron mean free path A, defined as the average distance an electron travels in between scattering events. = (c) The Drude model assumes that is independent of temperature. How does the electrical resistivity p depend on temperature under this assumption? Sketch p(T).

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2. Temperature dependence of resistance in the Drude model We consider copper, which has a density of 8960 kg/m³, an atomic weight of 63.55 g/mol, and a room-temperature resistivity of p 1.68 × 10-Nm. Each copper atom provides one free electron. = (a) Calculate the Drude scattering time 7 at room temperature. 8kBT calculate πm (b) Assuming that electrons move with the thermal velocity (v) the electron mean free path λ, defined as the average distance an electron travels in between scattering events. = 9 (c) The Drude model assumes that is independent of temperature. How does the electrical resistivity p depend on temperature under this assumption? Sketch p(T).
Transcribed Image Text:2. Temperature dependence of resistance in the Drude model We consider copper, which has a density of 8960 kg/m³, an atomic weight of 63.55 g/mol, and a room-temperature resistivity of p 1.68 × 10-Nm. Each copper atom provides one free electron. = (a) Calculate the Drude scattering time 7 at room temperature. 8kBT calculate πm (b) Assuming that electrons move with the thermal velocity (v) the electron mean free path λ, defined as the average distance an electron travels in between scattering events. = 9 (c) The Drude model assumes that is independent of temperature. How does the electrical resistivity p depend on temperature under this assumption? Sketch p(T).
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