[10 minutes] 8.1 [10 points] +10 V 10 ΚΩ (c) An NMOS common-source amplifier with [10 points] an NMOS cascode stage and a cascode PMOS current-source load. 8.3 +5V 5 ΚΩ [30 minutes] VDD = 1.8 V [20 points] VG2° Q2 Vaso Figure 8.1.1 -10 V For the circuit shown in Fig. 8.1.1, assume Q₁ and 22 are perfectly matched, and 23, 24, and Q5 are perfectly matched. Also, assume all transistors have very high ẞ and V. Find V1, I, and V2. [30 minutes] 8.2 [30 points] Given the availability of NMOS and PMOS tran- sistors that are matched and have k = kp = 5 mA/V2 and VAR-V Ap=5V, give circuits for the following amplifiers. In each case, find the output resistance and the voltage gain. In all cases, operate each transistor at a de bias current of 100 μA and give the value of IVorl at which each transistor is operating. [10 points] (a) An NMOS common-source amplifier with a PMOS current-source load. [10 points] (b) An NMOS common-source amplifier with an NMOS cascode stage and a single-transistor PMOS current-source load. Figure 8.3.1 Design the double-cascode current source shown in Fig. 8.3.1 to provide I = 0.2 mA and the largest possible signal swing at the output; that is, design for the minimum allowable voltage across each transistor. The CMOS fabrication pro- cess available has Vpl = 0.4 V, ||=6V/um, and pCox 100 μA/V2. Use devices with L = 0.4 μm, and operate at Vor = 0.2 V. (a) Specify VGI, VG2, and VG3. (b) Find the W/L ratios of the transistors. (c) What is the value of R, achieved? [6 points] [3 points] [5 points] (d) What is the maximum allowable voltage at the [3 points] current-source output? (e) If this current source is used as the load of an [3 points] NMOS double-cascode amplifier having a short- circuit transconductance of 2 mA/V and an output resistance equal to Ro of the current source, what voltage gain is obtained?

Fig: 1