Equations

Equations

R=\frac{\rho L}{A}

$R$ = Resistance
$\rho$ = Resistivity ( $\Omega cm$ )
$L$ = Length
$A$ = CS Area

J=\sigma E

$J$ = Current Density
$\sigma$ = Conductivity ( $\frac{1}{\Omega cm}$ )
$E$ = Electric Field

V_{bi} = \frac{kT}{q}ln(\frac{N_D N_A}{n_i^2})

$V_{bi}$ = Built-in Potential Doping $J=nev$
$n$ = Charge Density
$e$ = Charge
$v$ = Drift Velocity

v=\mu E

$v$ = Drift Velocity
$\mu$ = Mobility
$E$ = Electric Field

\sigma = ne\mu

\rho=\frac{1}{\sigma}

\sigma=q(\mu_nn+\mu_pp)

$q$ = Electronic Charge
$\mu$ = Carrier Mobility ( $\frac{cm^2}{Vs}$ ) $1 eV = 1.602\times 10^{-19}J$