Question $5(20$ points$)-$ Common Emitter $($CE$)$ Circuit

For the following circuit represents a common emitter $($CE$)$ circuit. We give Vbe $=0\mathrm{.}7$ V and B $=150.$ Assume that the decoupling capacitors, C$1,$ C$2,$ C$3,$ have negligible reactance for the frequency at which the amplifier operates. Neglect the small base$-$emitter voltage Vbe $=$ OV $($a$)$ Determine the operating region of the transistor $($i$.$e$.$ the bias point$).(6$ points$)$

$($b$)$ Determine the gain of this amplifier, Av$.$ Assume that Vt $=25$ mV and VA $=$ infinity $(8$ points$)$

$($c$)$ Determine the input resistance of the circuit Rin

$(3$ points$)$

d$)$ Determine the output resistance of the circuit Rout

$(3$ points$)$