Establish the relation between electron mobility and resistivity.
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The mobility of a charge carrier is defined as the drift velocity of the charge carrier per unit electric field.
Thus, mobility , μ=
E
v
d
If q be the charge of carrier and τ be the relaxation time, then mobility μ=
m
qτ
where m be the mass of the charge carrier.
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=> Conductivity is proportional to the product of mobility and carrier concentration. For example, the same conductivity could come from a small number of electrons with high mobility for each, or a large number of electrons with a small mobility for each.
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