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Problem5. The following MOS differential amplifier employs transistors with W/L = 100 and μnCox = 0.2 mA/V2. Please answer the following questions for the circuit shown above. a. Draw the differential-mode half circuit of the amplifier. b. Calculate the differential gain of the circuit. c. Draw the common-mode half circuit of the amplifier. d. Calculate the common-mode gain of the circuit if the drain resistances have 1% mismatch. e. Calculate the CMRR of the circuit in dB.

Problem5. The following MOS differential amplifier employs transistors with W/L = 100 and μnCox = 0.2 mA/V2. Please answer the following questions for the circuit shown above. a. Draw the differential-mode half circuit of the amplifier. b. Calculate the differential gain of the circuit. c. Draw the common-mode half circuit of the amplifier. d. Calculate the common-mode gain of the circuit if the drain resistances have 1% mismatch. e. Calculate the CMRR of the circuit in dB.

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Problem5.The following MOS differential amplifier employs transistors with W / L = 100 and μ 2 C 9 x = 0.2 m A / V 2 . Please answer the following questions for the circuit shown above. a. Draw the differential-mode half circuit of the amplifier. b. Calculate the differential gain of the circuit. c. Draw the common-mode half circuit of the amplifier. d. Calculate the common-mode gain of the circuit if the drain resistances have 1 % mismatch. e. Calculate the CMRR of the circuit in d B .

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A MOS differential pair operated at a bias current I of 0.8 mA employs transistors with W/L = 100 and μnCox = 0.2 mA/V2, using RD = 5 kΩ and Rss = 25 kΩ. Ignore ro of Q1 and Q2. (a) Find the overdrive voltage Vov of Q1 and Q2. Ignore the bias current through Rss. (b) Find the gm of Q1 and Q2. (c) Find the differential gain Ad using the gm found in (b). (d) Derive an expression for vo1/vicm and vo2/vicm. (e) Suppose the load of Q2 is replaced by RD+ΔRD, find an expression for the common-mode gain which is defined as Acm = vod/Vicm. (f) Find the Acm when the drain resistances have 1% mismatch. ( (g) Find CMRR in dB for the case of (f).
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