NOTE: For all the problems here, and from now on, we'll use the common terminology for K. Namely, we'll use Kn = Kn' (W/L) for n-MOSFETs and Kp = Kp'(W/L) for p-MOSFETs. Kn² = µnCox and Kp' =µpСox. 1) For the CMOS inverter circuit shown below, assume the following: Kn' = Kp', Ln = Lp = 1µm, and /VTP/ = V™N = VT. Let's define the threshold as the point (VỊ = VTH) in the vo versus vi transfer curve where vo = VDD/2. VDD ᏙᏅ M2 Wp wwwww M1 Wn a) Sketch the inverter transfer curve and mark the VTH point. b) Find an expression for the inverter threshold voltage VTH in terms of VDD, VT, Wn and Wp. c) If WnWp, what is VTH? In what mode of operation are M1 and M2 when V₁ = VTH? What about when VỊ< √ÌÌ?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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NOTE: For all the problems here, and from now on, we'll use the common terminology for
K. Namely, we'll use Kn = Kn' (W/L) for n-MOSFETs and Kp = Kp'(W/L) for
p-MOSFETs. Kn² = µnCox and Kp' =µpСox.
1) For the CMOS inverter circuit shown below, assume the following: Kn' = Kp', Ln = Lp = 1µm,
and /VTP/ = V™N = VT. Let's define the threshold as the point (VỊ = VTH) in the vo versus vi
transfer curve where vo = VDD/2.
VDD
ᏙᏅ
M2
Wp
wwwww
M1
Wn
a) Sketch the inverter transfer curve and mark the VTH point.
b) Find an expression for the inverter threshold voltage VTH in terms of VDD, VT, Wn and
Wp.
c) If WnWp, what is VTH? In what mode of operation are M1 and M2 when V₁ = VTH?
What about when VỊ< √ÌÌ?
Transcribed Image Text:NOTE: For all the problems here, and from now on, we'll use the common terminology for K. Namely, we'll use Kn = Kn' (W/L) for n-MOSFETs and Kp = Kp'(W/L) for p-MOSFETs. Kn² = µnCox and Kp' =µpСox. 1) For the CMOS inverter circuit shown below, assume the following: Kn' = Kp', Ln = Lp = 1µm, and /VTP/ = V™N = VT. Let's define the threshold as the point (VỊ = VTH) in the vo versus vi transfer curve where vo = VDD/2. VDD ᏙᏅ M2 Wp wwwww M1 Wn a) Sketch the inverter transfer curve and mark the VTH point. b) Find an expression for the inverter threshold voltage VTH in terms of VDD, VT, Wn and Wp. c) If WnWp, what is VTH? In what mode of operation are M1 and M2 when V₁ = VTH? What about when VỊ< √ÌÌ?
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