QI \( R_{\text {Sig }}=400 \Omega \) \( R_{1}=180 \mathrm{k} \Omega \) \( R_{2}=40 \mathrm{k} \Omega \) \( R_{C}=4 \mathrm{k} \Omega \) \( R_{E}=1 \mathrm{k} \Omega \) \( R_{L}=40 \mathrm{k} \Omega \) \( \beta=800 \) \( V_{B E}=0.7 \mathrm{~V} \) \( V_{C C}=30 \mathrm{~V} \) \( V_{T}=25 \mathrm{mV} \) a-) Draw the \( D C \) equivalent circuit and calculate the bias points. Find \( I_{C}, V C E \), I \( I_{E} \) and \( I_{B} \). Show that the circut is in \( A C T W C \) mode. b-) Find AC model parumetos \( \left(r_{\pi}, r_{e}, g_{m}\right) \) c-) Draw the small signal eqivalent model. Replace the tronsistor with its equivalent nodel. d) Calculate the inpst and ortput impedace of the amplifier e-) Calculate overall gain of the amplifier \( G_{v}=\frac{v_{0}}{v_{s i n}} \)