$18.$ FORWARD BIASED p$-$n JUNCTION $(15$ points$)$

a$)$ Again, keeping in mind your answer to problem $\backslash$#$2,$ draw this p$-$n junction under FORWARD BIAS, below, where $\backslash ($ x$=0\backslash )$ represents the junction between the $\backslash ($ p $\backslash )-($left$)$ and $\backslash ($ n $\backslash )($right$)$ sides. Indicate on the x $-$axis the extent of the depletion region on the p$-$side with an appropriate variable name, and the depletion on the $\backslash (\backslash$boldsymbol$\{$n$\}\backslash )-$side with an appropriate variable name.

Are these new depletion widths GREATER or LESS than the ZERO BIAS case?

b$)$ The magnitude of the energy gap Eg is indicated, left. Your drawing should indicate both quasi$-$Fermi energies, one on each side far from the junction, and both should extend to $\backslash ($ x$=0\backslash ).$ It should also indicate conduction band energy and valence band energy, with appropriate variable names. Recall that the forward bias must NOT exceed the built$-$in voltage and indicate with a vertical arrow between the quasi$-$Fermi energies the magnitude of the forward bias with an arrow labelled $\backslash ($ q V $\backslash )$ pointing from $\backslash ($ p $\backslash )-$ to $\backslash ($ n $\backslash )-$quasiFermi energies. Indicate with a vertical arrow the total band$-$bending in the junction with the label $\backslash (\backslash$left$($q V$\_\{$b i$\}-$q V$\backslash$right$)\backslash ).$

c$)$ Is the total band bending $(\backslash ($ q V$\_\{$b i$\}-$q V $\backslash ))$ under forward bias GREATER or LESS than the ZERO BIAS case?