1) For an NMOS differential pair with a common-mode voltage VCM applied, as shown in the figure below, let VDD = Vss=1.0 V, kn'= 0.4 mA/V², (W/L)1,2= 10, Vm= 0.4 V, I = 0.16 mA, RD = 5 ks, and neglect channel-length modulation. a) Find Voy and VGs for each transistor. b) For VCM = 0, find Vs, ID1, ID2, VD1, and VD2. c) Repeat (b) for VCM =+0.4 V. d) Repeat (b) for VCM =-0.1 V. e) What is the highest value of VCM for which Q1 and Q2 remain in saturation? f) If current source I requires a minimum voltage of 0.2 V to operate properly, what is the lowest value allowed for Vs and hence for VCM? VDD

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1) For an NMOS differential pair with a common-mode voltage VCM applied, as shown in the figure
below, let VDD = Vss =1.0 V, kn'= 0.4 mA/V², (W/L)1,2= 10, Vin= 0.4 V, I = 0.16 mA, Rp = 5 kN,
and neglect channel-length modulation.
a) Find Voy and VGs for each transistor.
b) For VCM = 0, find Vs, ID1, ID2, VD₁, and VD2.
c) Repeat (b) for VCM =+0.4 V.
d) Repeat (b) for VCM =-0.1 V.
e) What is the highest value of VCM for which Q₁ and Q₂ remain in saturation?
f)
If current source I requires a minimum voltage of 0.2 V to operate properly, what is the lowest
value allowed for Vs and hence for VCM?
UGI
Rp
UDIO
VIDI
Q₁
ip
VDD
-Vss
'D2 V
A
O
p2Y
RD
-0 U/p₂
VG2
Transcribed Image Text:1) For an NMOS differential pair with a common-mode voltage VCM applied, as shown in the figure below, let VDD = Vss =1.0 V, kn'= 0.4 mA/V², (W/L)1,2= 10, Vin= 0.4 V, I = 0.16 mA, Rp = 5 kN, and neglect channel-length modulation. a) Find Voy and VGs for each transistor. b) For VCM = 0, find Vs, ID1, ID2, VD₁, and VD2. c) Repeat (b) for VCM =+0.4 V. d) Repeat (b) for VCM =-0.1 V. e) What is the highest value of VCM for which Q₁ and Q₂ remain in saturation? f) If current source I requires a minimum voltage of 0.2 V to operate properly, what is the lowest value allowed for Vs and hence for VCM? UGI Rp UDIO VIDI Q₁ ip VDD -Vss 'D2 V A O p2Y RD -0 U/p₂ VG2
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