Question

$\text{Consider a silicon semiconductor bar shown below:}$

$\text{The electron current density in the above semiconductor is}\text{Assume mobility of electron is 2500}c{m}^2/V-sec$

• A. $20A/c{m}^2$
• B. $10A/c{m}^2$
• C. $5A/c{m}^2$
• D. $25A/c{m}^2$

Answer 1

The correct option is B $10A/c{m}^2$

$\text{From the given semiconductor bar,}$
$\text{Electric field}$$E=\frac{V}{l}=\frac{5}{2}=2.5V/cm$
$\text{Electron current density in the silicon bar,}$
$I_n=nq{\mu }_{n}E$
$=1.6\times {10}^{-19}\times {10}^{16}\times 2500\times 2.5$
$I_n=10A/c{m}^2$