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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?

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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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