Solar Cell: $(30$ points$)$ A long silicon p$-$n junction solar cell at T $=300$ K has the following parameters: Na $=11016$ cm$3,$ Nd $=11015$ cm$3,$ Dn $=25$ cm$2$ s $1,$ Dp $=10$ cm$2$ s $1,$ n $=1106$ s$,$ and p $=5107$ s$.$ The cross$-$sectional area of the solar cell is $5$ cm$2.$ The entire junction is uniformly illuminated such that the generation rate of electron$-$hole pairs is Gop $=51021$ cm$3$ s $1.($a$)$ Calculate the short$-$circuit photocurrent, Isc, generated in the space charge region. $($b$)$ Using the results of part $($a$),$ calculate the open$-$circuit voltage, Voc. $($c$)$ Determine the maximum power output, Pm$.$ What load resistance, RL$,$ should be used to obtain Pm$?$