$1.$ Assuming C$1$ is large enough to act as a short circuit at the frequencies of interest, find the value of DC current source IE that will make Rin $=50$ W$.$ Assume Q$1$ has a b $=120,$ VA $=$ $,$ and VBE $=0\mathrm{.}7$ V when biased in the active region. Also assume that Rin $1/$ gm $.($In all these

problems, do algebra first and then insert numbers to get a numerical answer.$)$

$1$

IE $=\_\_\_\_\_\_\_\_\_\_\_$

$2.$ If VCC $=3$ V$,$ choose values for RB and RC so that VB $=1\mathrm{.}5$ V and VC $=2$ V$.$ Use the value of IE that you found in step $(1)$ for this problem.

RB $=\_\_\_\_\_\_\_\_\_\_\_\_$

RC $=\_\_\_\_\_\_\_\_\_\_\_\_$

$3.$ Next, assume base bias bypass capacitor CB $=0($it is not present$).$ Draw an AC equivalent circuit for this system, and find the AC voltage gain A$1=$ vout$/$vin under the condition that the base bias resistor is not bypassed. $($You will need to take into account the voltage divider formed by RB and rp$.)$