Q.3 [Total: 25 marks] The schematic of a inverter using a single MOSFET transistor is shown below: VDD R Vo Vi The threshold voltage of the transistor Q1 is VT| = 1V and channel length modulation can be neglected. (a) Identify a suitable model of the transistor for analysing the above circuit and describe the model mathematically, graphically or as an equivalent circuit. Sketch the voltage-voltage transfer characteristic, Vo-Vi, for the circuit, clearly identifying the state of the transistor based on the pro- posed model. [10 marks] (b) If the transistor is saturated where V; < VA and not saturated where V; > VA, derive an expression for Volv₁₁ in terms of the relevant circuit and transistor parameters. If kn Volv=v in terms of VDD. = Vi=VA 100 μAV-2 and R = © 100k, determine [8 marks] (c) Assuming no leakage current, calculate the Vmin of the inverter. If, OH instead, there is a leakage current with equivalent resistance of 3 M when VGS < VÃ, determine the adjusted Vmin. Calculate the power lost when Vi VT = in these circumstances. OH. [7 marks]
Q.3 [Total: 25 marks] The schematic of a inverter using a single MOSFET transistor is shown below: VDD R Vo Vi The threshold voltage of the transistor Q1 is VT| = 1V and channel length modulation can be neglected. (a) Identify a suitable model of the transistor for analysing the above circuit and describe the model mathematically, graphically or as an equivalent circuit. Sketch the voltage-voltage transfer characteristic, Vo-Vi, for the circuit, clearly identifying the state of the transistor based on the pro- posed model. [10 marks] (b) If the transistor is saturated where V; < VA and not saturated where V; > VA, derive an expression for Volv₁₁ in terms of the relevant circuit and transistor parameters. If kn Volv=v in terms of VDD. = Vi=VA 100 μAV-2 and R = © 100k, determine [8 marks] (c) Assuming no leakage current, calculate the Vmin of the inverter. If, OH instead, there is a leakage current with equivalent resistance of 3 M when VGS < VÃ, determine the adjusted Vmin. Calculate the power lost when Vi VT = in these circumstances. OH. [7 marks]
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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Question
Part c Assuming no leakage current, calculate the V
min
OH of the inverter. If,
instead, there is a leakage current with equivalent resistance of 3 MΩ
when VGS < VT , determine the adjusted V
min
OH . Calculate the power lost
when Vi =
VT
2
in these circumstances.
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