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A two-stage amplifier is shown in figure 7.75. It is constructed by cascading two one-stage amplifiers of the type seen in Problem 7.2.

PROBLEM 7.3 A two-stage amplifier is shown in Figure 7.75. It is constructed by cascading two one-stage amplifiers of the type seen in Problem 7.2. In analyzing this amplifier, use the MOSFET model described in Problem 7.2 and illustrated in Figure 7.74. V. V. OUT VIN MID a) The fact that a second amplifier stage is connected to the first amplifier stage does not change the operation of the first stage. That is, the relation between vMID and N here is the same as the relation between voUT and vIN in Problem 7.2. Why? What terminal characteristic of the second MOSFET must change in order for this not to be true? b) Derive the relation between MID and vN for 0 UN, and the relation between voUT and MID for 0 s MID s Vs. (Hint: see Problem 7.2.) c) Derive the relation between OUT and MN for 0-MN. d) Determine the range of input voltages for which both MOSFETs operate under the saturation discipline. What are the corresponding ranges for MID and vOUT? e) Using the numerical parameters given in Problem 7.2, graph vOUT versus UIN for N for 0 V < IN K 3 V. Compare this graph to the input-output graph found in Problem 7.2, and explain the differences.

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