For the common source amplifier circuit to the right, assume VDD = 3V, μn = 350 cm²/Vs, Cox = 3.835x107 F/cm², Vthn = 0.7 V, W/L = 50/0.5, RD = 2 kQ2. Ignore channel length modulation (i.e. λn = 0). (a) What is the small-signal voltage gain if M₁ is in saturation region with IDS = 1 mA? (b) What input voltage places M1 at the edge of saturation region (i.e. when VDS(sat))? What is the small-signal voltage gain under this = VDS condition? Vin VDD RD Vout (c) What input voltage drives M1 into the linear region by 50 mV (i.e. when VDS = VDS(sat) - 50 mV)? What is the small-signal voltage gain under this condition? (Note: You will need to use the expressions for gm and ro derived from the linear region current equation.) Suppose the same common source amplifier 1 V to 2.5 V. All device and circuit parameters stay the same. to provide an output swing from (a) Calculate the DC input voltages that yield Vout = 1 V and Vout = 2.5 V. (b) Calculate the drain current and the transconductance of M1 for both cases. (c) How much does the small-signal gain, gm(ro//RD) = gmRD vary as the output goes from 1 V to 2.5 V? (Variation of small-signal gain can be viewed as nonlinearity)

For the common source amplifier circuit to the right, assume VDD = 3V, μn = 350 cm²/Vs, Cox = 3.835x107 F/cm², Vthn = 0.7 V, W/L = 50/0.5, RD = 2 kQ2. Ignore channel length modulation (i.e. λn = 0). (a) What is the small-signal voltage gain if M₁ is in saturation region with IDS = 1 mA? (b) What input voltage places M1 at the edge of saturation region (i.e. when VDS(sat))? What is the small-signal voltage gain under this = VDS condition? Vin VDD RD Vout (c) What input voltage drives M1 into the linear region by 50 mV (i.e. when VDS = VDS(sat) - 50 mV)? What is the small-signal voltage gain under this condition? (Note: You will need to use the expressions for gm and ro derived from the linear region current equation.) Suppose the same common source amplifier 1 V to 2.5 V. All device and circuit parameters stay the same. to provide an output swing from (a) Calculate the DC input voltages that yield Vout = 1 V and Vout = 2.5 V. (b) Calculate the drain current and the transconductance of M1 for both cases. (c) How much does the small-signal gain, gm(ro//RD) = gmRD vary as the output goes from 1 V to 2.5 V? (Variation of small-signal gain can be viewed as nonlinearity)

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

I only need help with the second question, but it relies on information from the first. Thank you!

For the common source amplifier circuit to the right, assume VDD = 3V, μn
= 350 cm²/Vs, Cox = 3.835x107 F/cm², Vthn = 0.7 V, W/L = 50/0.5, RD = 2
kQ2. Ignore channel length modulation (i.e. λn = 0).
(a) What is the small-signal voltage gain if M₁ is in saturation region with
IDS = 1 mA?
(b) What input voltage places M1 at the edge of saturation region (i.e. when
VDS(sat))? What is the small-signal voltage gain under this
=
VDS
condition?
Vin
VDD
RD
Vout
(c) What input voltage drives M1 into the linear region by 50 mV (i.e. when VDS = VDS(sat) - 50
mV)? What is the small-signal voltage gain under this condition? (Note: You will need to use
the expressions for gm and ro derived from the linear region current equation.)
Suppose the same common source amplifier
1 V to 2.5 V. All device and circuit parameters stay the same.
to provide an output swing from
(a) Calculate the DC input voltages that yield Vout = 1 V and Vout = 2.5 V.
(b) Calculate the drain current and the transconductance of M1 for both cases.
(c) How much does the small-signal gain, gm(ro//RD) = gmRD vary as the output goes from 1 V to
2.5 V? (Variation of small-signal gain can be viewed as nonlinearity)

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