Consider p$-$type silicon at T$=300$KT $=300$KT$=300$K doped to Na$=51014$cm$3$N$\_$a $=5\backslash$times $10^\{14\}\backslash ,\backslash$text$\{$cm$\}^\{-3\}$Na$=51014$cm$3.$

Assume excess carriers are present and assume that EF$$EFp$=0\mathrm{.}01$kTE$\_$F $-$ E$\_\{$Fp$\}=0\mathrm{.}01$ kTEF$$EFp$=0\mathrm{.}01$kT$.$

$($a$)$ Does this condition correspond to low injection? Why or why not?

$($b$)$ Determine EFn$$EFE$\_\{$Fn$\}-$ E$\_$FEFn$$EF$.$