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Differential Amplifiers, Exercises of Artificial Intelligence

tells about Op-amps,differential amplifiers

Typology: Exercises

2023/2024

Uploaded on 06/12/2025

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BIRLA INSTITUTE OF TECHNOLOGY & SCIENCE, PILANI - K. K. BIRLA GOA CAMPUS
Microelectronic Circuits Tutorial 7
Ex 1: In the circuit of figure below, (W/L)1,2=50/0.5and ISS =0.5mA
(a) What is the maximum allowable output voltage swing if Vin,CM =1.2V?
(b) What is the voltage gain under this condition?
Ex 2: A differential pair uses input NMOS devices with W/L=50/0.5and a tail current of 1 mA.
(a) What is the equilibrium overdrive voltage of each transistor?
(b) How is the tail current shared between the two sides if Vin1Vin2=50mV ?
(c) What is the equivalent Gmunder this condition?
(d) For what value of Vin1Vin2does the Gmdrop by 10%? By 90%?
Ex 3: In the MOS differential pair of figure below, VCM =1V,ISS =1mA, and RD=1k. What
is the minimum allowable supply voltage if the transistors must remain in saturation? Assume
VTH ,n=0.5V.
µnCox=200 µA/V2,µpCox=100 µA/V2,λ=0,
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BIRLA INSTITUTE OF TECHNOLOGY & SCIENCE, PILANI - K. K. BIRLA GOA CAMPUS

Microelectronic Circuits Tutorial 7

Ex 1: In the circuit of figure below, (W /L) 1 , 2 = 50 / 0. 5 and ISS = 0. 5 mA

(a) What is the maximum allowable output voltage swing if Vin,CM = 1. 2 V? (b) What is the voltage gain under this condition?

Ex 2: A differential pair uses input NMOS devices with W /L = 50 / 0. 5 and a tail current of 1 mA.

(a) What is the equilibrium overdrive voltage of each transistor? (b) How is the tail current shared between the two sides if Vin 1 −Vin 2 = 50 mV? (c) What is the equivalent Gm under this condition? (d) For what value of Vin 1 −Vin 2 does the Gm drop by 10%? By 90%?

Ex 3: In the MOS differential pair of figure below, VCM = 1 V , ISS = 1 mA, and RD = 1 kΩ. What is the minimum allowable supply voltage if the transistors must remain in saturation? Assume VT H,n = 0. 5 V. μnCox=200 μA/V 2 , μpCox=100 μA/V 2 , λ = 0 ,

Microelectronic Circuits (EEE F244/ECE F244/INSTR F244) Page 2 of 3 Ex 4: The MOS differential pair of figure below must be designed for an equilibrium over-drive of 200 mV. If μnCox=100 μA/V 2 and W /L = 20 / 0. 18 , what is the required value of ISS?

Ex 5: Calculate the differential voltage gain of the circuits depicted in figure below. Assume perfect symmetry and λ > 0.

Ex 6: Calculate the differential voltage gain of the circuits depicted in figure below. Assume perfect symmetry and λ > 0. You may need to compute the gain as Av = −GmRout in some cases.