$1.$ The pn junction Consider an abrupt Si pn $+$ junction that has $1015$ acceptors cm$-3$ on the

p$-$side and $1019$ donors on the n$-$side. The minority carrier recombination times are

$$e $=490$

ns for electrons in the p$-$side and

$$h $=2\mathrm{.}5$ ns for holes in the n $-$side. The cross$-$sectional

area is $1$ mm$2.$ Assuming a long diode, calculate the current, I, through the diode at room

temperature when the voltage, V$,$ across it is $0\mathrm{.}6$ V$.$