Problem $5$

$V_6=0\mathrm{.}879*V$

$A=1\mathrm{.}5{10}^{-3}c{m}^2$

$p_0=4\mathrm{.}5{10}^{3}c{m}^{-3}$;$D_p=9\mathrm{.}065c\frac{m^2}{s}$;$L_p=6\mathrm{.}73*{10}^{-3}cm$

$I_p=1\mathrm{.}457*{10}^{-15}A$

$I_n=\frac{qA{D}_n{n}_0}{L_n}$;$D_n={}_n^{}\frac{kT}{9}$;$L_{}=\sqrt[\phantom{2}]{D_n{z}_n}$;$n_0=\frac{n^2}{N_0}$

$n_0=90$;$D_p=12\mathrm{.}95c\frac{m^2}{s}$;$L_p=1\mathrm{.}97*{10}^{-3}cm$

$I_n=1\mathrm{.}421*{10}^{-16}A$

$I_{\text{t}\text{o}\text{t}}=I_p+I_n,I_{\text{t}\text{o}\text{t}}=1\mathrm{.}599*{10}^{-15}$AAn abrupt Si p$-$n junction has the following properties at $300$ K :

$p-$ side

$N_a=2\mathrm{.}5\frac{{10}^{18}}{c}{m}^3$

${}_n=0\mathrm{.}3s$

${}_p=140c{m}^{2}V*s$

${}_n=500c\frac{m^2}{V}*s$

$A=1\mathrm{.}5{10}^{-3}c{m}^2$

n$-$ side

$N_d=5\frac{{10}^{16}}{c}{m}^3$

${}_p=5s$

${}_n=1100c\frac{m^2}{V}*s$

${}_p=350c\frac{m^2}{V}*s$

III. Calculate the total injected minority carrier current for $V=\frac{V_0}{3}$ and $\frac{V_0}{2}.$