Is resistance determined by electron mobility? How Is resistance  determined by  electron mobility for a given resistor or wire. 
 A: The electron mobility μ is defined as
$v_{d}=\mu E$
There is a simple relation between mobility and electrical conductivity. Let n be the number density (concentration) of electrons, and let μe be their mobility. In the electric field E, each of these electrons will move with the velocity vector $mu _{e}\mathbf {E}$, for a total current density of $ne\mu _{e}\mathbf {E}$ (where e is the elementary charge). Therefore, the electrical conductivity σ satisfies:
σ = $ne\mu _{e}$
This formula is valid when the conductivity is due entirely to electrons. In a p-type semiconductor, the conductivity is due to holes instead, but the formula is essentially the same: If "p" is the concentration of holes and μh is the hole mobility, then the conductivity is
σ = $pe\mu _{h}$
If a semiconductor has both electrons and holes, the total conductivity is:
σ = e$(n\mu _{e}+p\mu _{h})$
Resistance is then, R=l/σA ,where l is the length of the conductor, σ is the conductivity and A is the area of cross-section of the conductor.
Using R=l/σA, use the value of σ for your type of conductor and then substitute the electron mobility in that formula to get an expression for resistance-electron mobility dependence.
