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Copper has one conduction electron per atom. Its density is `8.89 g//cm^3` and its atomic mass. `63.54 g//mol`. If a copper wire of diameter `1.0 mm` carries a current of `2.0 A`, what is the drift speed of the electrons in the wire? |
Answer» Correct Answer - A::D `rho=8.89xx10^3kg/m^3` Mass of `1m^3=8.89xx10^3=8.89xx10^6g` `:.` Number of gram moles `=(8.89xx10^6)/63.54=1.4x10^5` Number of atoms `=1.4xx10^5xx6.02xx10^23` `=8.42xx10^28` One atom emits one condition electron. therefore number of free electrons in unit volume (or `1m^3` volume) `n=8.42xx10^28per m^3` `No2, i="ne"Av_d` `:. v_d=1/("ne"A)=i/("ne"pi r^2)` `=2.0/((8.42xx10^28)(1.6xx10^-19)(pi)(0.5xx10^-3)^2)` `=1.9xx10^-4m//s` |
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