Problem $1(15\%)$

Consider a$($ W$)/($S$)$i Schottky barrier at $300$ K with a Schottky barrier height of $0\mathrm{.}63$ V$.$ For Si$,$ Nd is

$5$x$1015$ cm$-3$

$.$ Nc is $2\mathrm{.}8$x$1019$ cm$-3$

$,$ and dielectric constant is $11\mathrm{.}7.$

$)$ Calculate the Schottky barrier lowering $$ for $($i$)$ Emax at VR $=1$ V and $($ii$)$ Emax at VR $=5$V$.$