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Anthony Li Alec Wasowicz

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1 Anthony Li Alec Wasowicz
HKN ECE 342 Review Session 1 Anthony Li Alec Wasowicz

2 MOSFET’s NMOS PMOS

3 MOSFET Operating Point
Three regions of operation: Cutoff (VGS < VT): ID = 0 Linear/Triode (VGS > VT, VDS < VGS - VT): 𝐼𝐷 = 𝜇𝑛𝐶𝑜𝑥( 𝑊 𝐿 )(( 𝑉 𝐺𝑆 − 𝑉 𝑇 ) 𝑉 𝐷𝑆 − 𝑉 𝐷𝑆 2 2 ) Saturation (VGS > VT, VDS > VGS - VT): 𝐼𝐷 = 𝜇𝑛𝐶𝑜𝑥 𝑊 𝐿 ½ 𝑉𝐺𝑆 − 𝑉 𝑇 2 (1+ λ 𝑉 𝐷𝑆 ) Note: 𝜇 𝑛 𝐶 𝑜𝑥 𝑊 𝐿 = 𝑘 ′ 𝑊 𝐿 =𝑘

4 MOSFET Incremental Model
Transconductance: 𝑔 𝑚 = 2 𝐼 𝐷 𝑉 𝑂𝑉

5 Gain Calculation Av = -GMRout
GM = Short Circuit small signal transconductance, ratio of iout to vin ROUT = Equivalent incremental output resistance

6 Common Amplifier Topologies
Diode-tied Transistor What is overdrive voltage here? Is this always in saturation? Common Source/Drain/Gate Purpose of each topology? equations Common Source with Degeneration Cascode Diode Tied Transistor

7 Common Source/Drain/Gate
ROUT = RD || rds Gm = gm ROUT = RS || (rds || 1/gm) Gm = - gm ROUT = RD || rds Gm = - gm Common Source. Your basic amplifier topology. Notice the infinite input resistance and inverted gain. Common Drain. Also known as a level shifter. These make great buffers. Source follower? Common Gate. good current buffer i believe.

8 Degeneration When a resistance is “viewed” through the drain, it appears bigger by a factor related to the transconductance. 𝑅𝑂𝑈𝑇 = 𝑅𝐷 || (𝑟𝑑𝑠 + 𝑅𝑆 + 𝑔𝑚𝑟𝑑𝑠𝑅𝑆) 𝐺𝑚 = 𝑔𝑚 1 + 𝑔 𝑚 𝑅 𝑆 Note that these formulas simplify to the common source ones if Rs is zero. Also remember that these equations rely on rds not being infinity.

9 Cascode Similar to degeneration but GM is not attenuated 𝐺 𝑀 = 𝑔 𝑚1
𝑅 𝑜𝑢𝑡 = 𝑟 𝑑𝑠2 + 𝑟 𝑑𝑠1 +𝑔 𝑚 2 𝑟 𝑑𝑠2 𝑟 𝑑𝑠1

10 Fall 2016 Midterm 2 Problem 1

11 Fall 2017 Midterm 2 Problem 3

12 Fall 2017 Midterm 2 Problem 3

13 Homework 5 Problem 3 Part I
Find AV

14 Homework 6 Problem 2 Part F


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