In the following circuit, V$\_($CC$)=12$V$,$R$\_($E$1)=340\backslash$Omega $,$R$\_($E$2)=100\backslash$Omega $,$R$\_($L$)=150\backslash$Omega and V$\_($BIAS$)=2\mathrm{.}4$V$.$

Transistors are equal with $\backslash$beta $=100,$V$\_($A$)=\backslash$infty $,$V$\_($BE$,$ on $)=0\mathrm{.}7$V and V$\_($CE$,$ sat $)=0\mathrm{.}4$V$.$

$($a$)$ Calculate R$\_($C$)$ to bias Q$\_(2)$ with a collector current of $60$ mA $.$ What error is incurred if the base

current of Q$\_(2)$ is neglected?

$($b$)$ Draw the small$-$signal circuit. Assume capacitors are short$-$circuits at the frequency of interest.

$($c$)$ Calculate g$\_($m$)$ and r$\_(\backslash$pi $)$ for Q$\_(1)$ and Q$\_(2).$

$($d$)$ Calculate the overall small$-$signal gain $($v$\_($out $))/($v$\_($in $)).$

$($e$)$ Calculate maximum positive and negative voltage swing at the load resistor.

$($f$)$ For Amp. $2,$ calculate DC supply power, and DC power dissipated at R$\_($e$2)$ and Q$\_(2).$

$($g$)$ Calculate load power and the power dissipated at R$\_($e$2)$ and Q$\_(2)$ when output is maximum

sinusoidal.

$($h$)$ Indicate in which condition $($no signal or maximum AC signal$)$ is the worst case for heat

dissipation at R$\_($e$2)$ and Q$\_(2).$