(a) Calculate the differential gain .

 (a) Neglecting the channel length modulation effect, the MOSFET is operating in saturation with ID = 0.5 mA and = 0.3 V. What must the MOSFET's (W/L) be? What is the dc voltage at the drain? 

(b) Find the input resistance and overall gaineffect needs to be considered).

(c) If   is sinusoid with a peak amplitude , find the maximum allowable value of for which the transistor remains in saturation. What is the corresponding amplitude of the output voltage?

(d) What is the value of resistance R3 that needs to be inserted in series with capacitor  as shown in Fig. 2 in order to allow us to double the input signal peak amplitude ? What output voltage now results?

 (a) Find the dc emitter current and the dc base voltage of Q1 transistor.

(b) If a load resistance 6201e198c95be. = 1 kΩ is connected to the output terminal, find the voltage gain from the base to the emitter of Q2 and the input resistance 6201e1c213cbb. looking into the base of Q2.

(b) Let the output resistance of current source is 25 kΩ. Calculate common-mode gain 620 and CMRR (in dB).

4.Consider a CC-CE amplifier such as that in Fig. 5 with the following specifications: I1 = I2 = 1 mA and identical transistors with β = 100, = 400 MHz, and = 2 pF. Thermal voltage = 25 mV. Let the amplifier be fed with a source having a resistance = 4 kΩ, and assume a load resistance = 4 kΩ. Find the midband voltage gain Vo/vsig and estimate the 3-db frequency fH by the method of open-circuit time constants (please show the value of each time constant).

4. (30%) Figure 4 shows a CC-CE amplifier with = RL = 5 kΩ, I1 = I2 = 1mA, and identical transistors with β = 100, fT = 500 MHz, Cμ = 5pF, and Cc = 2uF. The thermal voltage VT= 25mV. For simplicity, neglect ro and rx effect. Please find (a) the input resistance(b) the midband gain AM, (c) the Cπof the BJTs, and (d) 3-dB frequency of the upper end of the midband, fH (using open-circuit time- constants method). (5%, 5%, 5%, 15%)

3. (30%) Figure 3 is the two-stage CMOS op amp configuration. All NMOSFETs have the same W/L = 10um/0.5um, = 0.5V, = 200 uA/V2. All PMOSFETs have the same WIL = 40um/0.5pμm, = -0.5V, = 50 μA/V2. IVAI (for all devices) = 100μ.A. Neglect the effect of VA on bias current. Please find (a) the transconductance gm and ro of Q2, (b) the voltage gain of the furst stage A1 and the second stage A2, (c) the input common-mode range, and (d) the output voltage range.(10%, 10%, 5%, 5%)

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