consider a PN junction non$-$ideal diode with the current$-$voltage equation as following:

I $=$ I$\_0($e $^(($qV$/$nkT$))-1)$

where:

I $=$ the net current flowing through the diode

I$\_0=$ "reverse saturation current", the diode leakage current

V $=$ applied voltage across the terminals of the diode

q $=$ absolute value of electron charge

n $=$ ideality factor, a number between $1$ and $2$ which typically increases as the current decreases

k $=$ Boltsmann constant

T $=$ absolute temperature $($K$)$

Using equation $1,$ express how to find a$)$ ideality factor $($n$)$ and b$)$ reverse saturation current $)$I$\_0)$ for a PN junction diode. Explain how the ideality factor $($n$)$ is related to the reverse saturation current $($I$\_0).$

$($If required, you may ignore $-1$ term in the equation $1,$ as this can be done for higher applied voltage$)$