In the common$-$emitter amplifier below assume $\backslash$beta $=200,$VA$=100$V$,$V$\_($BE$)=0\mathrm{.}7$V and V$\_($T$)=25$mV$.$ Also

C$\_(\backslash$pi $)=8$pF and C$\_(\backslash$mu $)=4$pF

$($a$)$ Find the DC current I$\_($E$)$ and the DC collector voltage V$\_($C$)$

$($b$)$ Compute the small signal parameters

$($c$)$ Give the mid band voltage gain

$($d$)$ Give the voltage gain low frequency cutoff and high frequency cutoff frequencies