Question $6.$

Consider the Common Emitter $($CE$)$ amplifier in figure B$3$ below. The capacitor $C_{in}=1F,V_{CC}=12V,{}_F=150,$ and the low cut$-$off frequency is $100$ Hz $.$ Assume $V_{BE}=0\mathrm{.}7V.V_{CE-5AT}$ for this BJT transistor is $0\mathrm{.}2V.R_C=800,$ and $R_E=120.$ The quiescent collector current is $5$ mA

Figure B$3$: Common Emitter Amplifier circuit

$($I$)$ Draw the small signal model for the CE amplifier

$[3$ marks$]$

$($II$)$ What is the transconductance gain of the amplifier?

$[2$ marks$]$

$($III$)$ What is the voltage gain of the amplifier $-$ with and without a bypass capacitor $(C_E)?$

$[4$ marks$]$

$($IV$)$ Determine a suitable value for the bypass capacitor $C_E.$

$[3$ marks$]$

$($V$)$ Determine a suitable value for the total bias resistance $(($:$R_{B1}+R_{B2}$