Question #86197
The electrical conductivity of monovalent Na metal is 117m1017.2−−Ω×. Calculate the relaxation time and the drift velocity in a field of 100 V m−1. Take density of Na to be 0.97 gm cm−3.
1
Expert's answer
2019-03-11T12:36:13-0400

Following Lorentz-Drude theory the relaxation time equals to 

τ=(2m/e2Na)(σμ/ρ)\tau=(2m/e^2Na)(\sigma\mu/\rho)

i.e. 0.033 (s). The drift velocity respectively is 

v=(E/eNa)(σμ/ρ)v=(E/eNa)(\sigma\mu/\rho)

or 2.9*1011 (m/s).


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