In Figure $2,$ BJT Q$\_(1)$ has $\backslash$beta $=100,$V$\_($A$)=80$V$,$ and V$\_($T$)=25$mV at room temperature. Assume

that the capacitors have infinite values, R$\_($I$)=100\backslash$Omega $,$R$\_(1)=2\mathrm{.}57$M$\backslash$Omega $,$R$\_(2)=5$M$\backslash$Omega $,$R$\_(3)=25$

k$\backslash$Omega $,$R$\_(4)=3$k$\backslash$Omega $,$R$\_(5)=9\mathrm{.}02$k$\backslash$Omega $,$R$\_($L$)=100$k$\backslash$Omega $,$V$\_($BE$)=0\mathrm{.}7$V and V$\_($CC$)=15$V$.$

$($a$)$ Determine the Q$-$point $($DC operating point$)$ of the amplifier.

$(6$ Marks$)$

$($b$)$ Determine the voltage gain A$\_()$

u $=($v$\_($o$))/($v$\_($i$)).$

$(8$ Marks$)$

$($c$)$ Determine the input resistance R$\_($in $)$ and output resistance R$\_($out $)$ of the amplifier.

$(8$ Marks$)$

$($d$)$ Determine the input small signal range for this amplifier.

$(3$ Marks$)$