# The transistor parameters for the circuit shown in Figure 1 are ß = 100, VBE(on) = 0.7 V(except Q4),VA = 50 V for Q, and Q, and VA = 100 V for Q, and Qu. (a) Derive an expression for lo. (4 r (b) If /, = 200 HA and IREF = 1 mA, Vee +5V and VEE-5V, find the values of R, and RE4. \text { (c) Find } I_{E 1} \text { and } I_{E 2}, r_{o 1}, r_{o 2}, r_{o 4}, g_{m 4} \text { and } r_{\pi 1}, r_{\pi 2}, r_{\pi 4} \text {. } (d) Draw the small-signal equivalent circuit in differential-mode operation \text { (e) Find an expression for the differential voltage gain } A_{v i d}=\frac{v_{0}}{v_{i d}} \text {, } \text { (f) If } R_{C}=20 \mathrm{k} \Omega \text {, find the value of } A_{v i d}=\frac{v_{0}}{v_{i d}} \text {. } (g) Draw the small-signal equivalent circuit in common-mode operation \text { (h) Find an expression for the single-ended common-mode voltage gain } A_{c m}=\frac{v_{0}}{v_{c m}} \text {. } \text { (i) Derive an expression for the constant current source output voltage }\left(R_{04}^{C S}\right) \text {. } \text { (j) What is the value of } R_{04}^{C S} \text { ? (2 } (k) What is the value of the common-mode voltage gain? (1) Find the CMRR.

Consider the NMOS current source in Figure 2, all transistors are matched.