\[\rho=\frac{1}{nq\mu}\]
Variables
rhoelectrical resistivity (ohm*m)
ncharge carrier density (1/m^3)
qcharge of carrier (C)
mucarrier mobility (m^2/(V*s))
Description
What is this formula?
This formula calculates the electrical resistivity of a material from the carrier density, carrier charge, and carrier mobility.
When to use it
Use it when analyzing conductive or semiconductive materials where microscopic charge transport properties are known.
Example
Data:
n = 8.5e28 1/m^3
q = 1.602e-19 C
mu = 4.3e-3 m^2/(V*s)
Formula:
rho = 1/(n*q*mu)
Substitution:
rho = 1/((8.5e28)*(1.602e-19)*(4.3e-3))
Result:
rho = 1.71e-8 ohm*m
Applications
Semiconductor analysis, conductive material characterization, electrical engineering, transport phenomena, and solid-state physics.