Figure P9.19 shows a MOS differential amplifer with the drain resistor

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Figure P9.19 shows a MOS differential amplifer with the drain resistors RD implemented using diode-connected PMOS transistors, Q3 and Q4. Let Q1 and Q2 be matched, and Q3 and Q4 be matched. (a) Find the differential half-circuit and use it to derive an expression for Ad in terms of gm1,2, gm3,4, ro1,2, and ro3,4. (b) Neglecting the effect of the output resistances ro, find Ad in terms of μn, μp, (W/L)1,2 and (W/L)3,4. (c) If μn = 4μp and all four transistors have the same channel length, find (W1,2/W3,4) that results in Ad = 10 V/V.

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Figure P9.19 shows a MOS differential amplifer with the drain resistors RD implemented using diode-connected PMOS transistors, Q3 and Q4. Let Q1 and Q2 be matched, and Q3 and Q4 be matched. (a) Find the differential half-circuit and use it to derive an expression for Ad in terms of gm1,2, gm3,4, ro1,2, and ro3,4. (b) Neglecting the effect of the output resistances ro, find Ad in terms of μn, μp, (W/L)1,2 and (W/L)3,4. (c) If μn = 4μp and all four transistors have the same channel length, find (W1,2/W3,4) that results in Ad = 10 V/V.

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The circuit shown above is a MOS differential amplifier with the drain resistors RD implemented using diode-connected PMOS transistors, M3 and M4. Let M1 and M2 be matched, and M3 and M4 be matched. If λ>0 and gm ro >> 1:

(a) Use circuit splitting technique to derive an expression for the differential voltage gain (Ad)

(b) Determine the common-mode gain (ACM) assuming that the tail current source (Iss) is non-ideal so that it has a finite output resistance Rss (parallel with the tail current source)

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