QI Circuit parumettro \( R_{\text {sig }}=400 \Omega \) \( R_{1}=180 \mathrm{k} \Omega \) \( R_{2}=40 \mathrm{k} \Omega \) \( R_{C}=4 \mathrm{k} \Omega \) \( R_{E}=1 \mathrm{k} \Omega \) \( R_{L}=40 \mathrm{k} \Omega \) The cupacitors \( C_{c_{1}}, C_{c_{2}} \times C_{E} \) are assumal to be large. \( \beta=800 \) For the curcuit given above, \( V_{B E}=0.7 \mathrm{~V} \) \( V_{C C}=30 \mathrm{~V} \) a-) Draw the \( O C \) equivalent circuit and calculate the bias points. Find \( I_{C}, V_{C E}, I_{E} \) and \( I_{B} \). Show that the circut is in ACTWE mode. b) Find \( A C \) model parumetos \( \left(r_{\pi}, r_{e}, g_{m}\right) \) c) Draw the small signd eqj valent model. Replace the trossistor with it equivalent nodel. d) Calculate the inpot and ortput impedace of the amplifier e-) Calculate everall gain of the amplifier \( G_{v}=\frac{v_{0}}{v_{\text {siv }}} \)