Consider a pn junction with N$\_\{$A$\}=10^18*$ c $*$ m $^-3$ and N$\_\{$D$\}=10^16*$ c $*$ m $^-3\backslash$ under a forward bias of $0\mathrm{.}6$ V$.$

v$\_\{$A$\}>0\mathrm{.}6$

$($a$)$ What are the minority carrier concentrations at the edges of the depletion region?

morority$="$

M$*$l$\_\{0\}$

e $^($q$*$V$\_\{$A$\}/$ k $*$ T$)=10^10$ since: $($kt$)/$q $*$ ln$(10)=0\mathrm{.}06$V

np$($xp$)$ VA$/$kT$10210101012$ N

Pn$($x$)$

n ND QVA$/$KT Pno

$10410101014$

Total minority carriers

p$(-$ x $*$ p$)$

PIN

$($b$)$ What are the excess minority carrier concentrations at the edges