Figure 781
the Transistors in the Amplifier Shown in Fig $\beta=100, V_{B E}=0.7 \mathrm{~V}$

Figure 7.8.1
The transistors in the amplifier shown in Fig. 7.8.1
have $\beta=100, V_{B E}=0.7 \mathrm{~V}$ , and negligible Early effect.
(a) Design the circuit to obtain the following dc operating parameters: $V_{B 1}=+3 \mathrm{~V}, I_{E 1}=1 \mathrm{~mA}$ , $V_{E 2}=+4 \mathrm{~V}$ , and $I_{E 2}=4 \mathrm{~mA}$ . Use $I=0.1 \mathrm{~mA}$ . Find the values of $R_{1}, R_{2}, R_{3},\left(R_{4}+R_{5}\right)$ , and $R_{6}$ . (b) Find the value of $R_{4}$ (and hence $R_{5}$ ) that results in $R_{\text {in }}=10 \mathrm{k} \Omega$ .
(c) Find $R_{i 2}$ .
(d) Find the voltage gain $v_{c 1} / v_{i}$ .
(e) Find the voltage gain $v_{O} / v_{c 1}$ .
(f) Find the overall voltage gain $v_{o} / v_{i}$ .
(g) Find the output resistance $R_{\text {out }}$ .
(h) In order to minimize nonlinear distortion, it is required to keep the maximum signal across the base-emitter junction of each of $Q_{1}$ and $Q_{2}$ to $5 \mathrm{mV}$ . Under this constraint, what is the maximum peak-to-peak sine wave signal that can be obtained at the output?