Question

Pure silicon crystal of length $l\left(0.1m\right)$ and area $A$(${10}^{-4}{m}^2$) has the mobility of electrons (${\mu }_e$) and holes (${\mu }_h$) as $0.135m^2/Vs$ and $0.048m^2/Vs$ , respectively. If the voltage applied across it is $2V$ and the intrinsic charge concentration is $n_i=1.5\times {10}^6{m}^{-3}$, then the total current flowing through the crystal is

• A. $8.78\times {10}^{-17}A$
• B. $6.25\times {10}^{-17}A$
• C. $7.89\times {10}^{-17}A$
• D. $2.456\times {10}^{-17}A$

Answer 1

Answer: (A)

Given:
$l=0.1m$
$A={10}^{-4}{m}^{-2}$
${\mu }_e=0.135m^2(Vs{)}^{-1}$
${\mu }_h=0.048m^2(Vs{)}^{-1}$
$n_i=1.5\times {10}^6{m}^{-3}$
$E=2V$