(Solved): Consider the feedback amplifier shown below. The transistors are biased with ideal current-sources ...

Consider the feedback amplifier shown below. The transistors are biased with ideal current-sources \( I_{1}=0.1 \mathrm{~mA} \) and \( I_{2}=1 \mathrm{~mA} \) and the devices operate with \( V_{B E}=0.7 \mathrm{~V} \) and have \( \beta_{1}=\beta_{2}=100 \). The input signal has zero DC component. The resistors values are: \( R_{s}=100 \Omega \) and \( R_{1}=1.6 k \Omega \), \( R_{2}=20 k \Omega \) and \( R_{L}=2 k \Omega . \) Assume \( V_{T}=26 \mathrm{mV} \) a) What is the feedback signal? Is it current or voltage? Feedback signal is b) What is the signal that is sampled from output side? Is it voltage or current? Feedback signal is c) What is the feedback topology? Series \( \rightarrow \) Shunt \( -> \) d) Can you identify the feedback network? It consists of \( \mathrm{R}_{1} \) and \( \mathrm{R}_{2} \) It consists of \( \mathrm{R}_{1}, \mathrm{R}_{2} \) and \( \mathrm{R}_{\mathrm{L}} \) It consists of \( \mathrm{R}_{2} \) only It consists of \( \mathrm{R}_{1}, \mathrm{R}_{2} \) and \( \mathrm{R}_{\mathrm{s}} \) From now on please provide your answers with 3 decimal places. e) Calculate the feedback factor. \[ \beta= \] f) If the forward gain A is large, what is the expected value of \( \frac{V_{0}}{V_{s}} \) to be? \[ \frac{V_{0}}{V_{s}}= \] g) Find the DC emitter current in \( Q_{1} \) and \( Q_{2} \). (HINT: apply KCL at \( B_{1}, E_{2}, C_{1} \) and \( \mathrm{KVL} \) in loop \( \left.L_{1}\right) \) \( \begin{array}{ll}i_{e_{1}}\left(\text { Current for } Q_{1}\right)= & m A \\ \left.i_{e_{2}} \text { (Current for } Q_{2}\right)= & m A\end{array} \) h) Calculate the DC voltage at emitter \( Q_{2} \). \[ V_{E 2}=\quad V \] i) What is the appropriate two port network to represent the feedback network for a feedback analysis? j) Calculate \( h_{11} \). \[ h_{11}=k \Omega \] k) Calculate \( h_{22} \). \[ h_{22}=k \Omega \] I) Calculate \( h_{12} \). \[ h_{12}= \] m) Calculate the open loop gain \( A=\frac{V_{0}}{V_{s}} \) \( A= \) n) Calculate the input impedance open loop? \( R_{i}=\quad k \Omega \) o) Calculate the open loop output impedance \( R_{o}=\quad k \Omega \) p) Calculate the closed loop gain q) Calculate the input impedance of closed loop? \[ R_{i f}=\quad k \Omega \] r) Calculate the output impedance of closed loop amplifier? \[ R_{o f}=k \Omega \]