Need Help with this **Title: Analysis of Differential and Common-Mode Gains in Matched Transistors****Note that V₁ and V₂ are AC voltage sources.**In the circuit shown, assume transistors are matched and identical. Ignore \( r_o \) for both transistors. Answer the following questions.**a) Derive the expressions for differential-mode gain, and the common-mode gain, and fill in the blanks below with your final answers.**- Differential-mode gain = [Blank]- Common-mode gain = [Blank]**b) Find the differential-output CMRR and the single-ended CMRR.**- Differential-mode CMRR = [Blank]- Single-ended CMRR = [Blank]---*Note:* The number "9√3" is prominently shown in a circle, indicating a calculated or important result related to the exercise. ### Differential Amplifier Circuit#### Diagram Explanation:The circuit schematic shown is a differential amplifier configuration, which consists of the following components:- **MOSFETs (M1 and M2):** Two matched transistors that form the core of the differential pair.- **V1 and V2:** These are AC voltage sources connected to the gates of M1 and M2, respectively.- **R_D:** Drain resistors, both set at 75 kΩ, connected from the drain of each MOSFET to the positive supply voltage (V_DD).- **V_DD and -V_SS:** Power supply voltages, with V_DD being positive and -V_SS being negative.- **I_ss, R_ss:** A current source with a bias current I_ss of 300 μA and resistance R_ss of 160 kΩ, connected to the common source point of M1 and M2 to -V_SS.- **V_out:** The output voltage is measured differentially between the drains of M1 and M2.- **g_m1 = g_m2:** Transconductance of each MOSFET, both equal to 3.5 mS.#### Notes:- The circuit operates using a differential input signal (V1 - V2) that is amplified to produce the differential output voltage V_out.- The focus of this amplifier configuration is on achieving high input impedance, moderate gain, and good linearity characteristics.- The parameter I_ss indicates the biasing current that helps set the operating point of the circuit, ensuring the transistors remain in the active region.This configuration is typical in analog signal processing applications where small differential signals need to be amplified accurately.

Given the amplifier: We need to find: a) Differential mode gain b) Common mode gain c) CMRR…

Note that V1 and V2 are ac voltage sources. In the circuit shown, assume transistors are matched and identical. Ignore r, for both transistors. Answer the following questions. a) Derive the expressions for differential-mode gain, and the common-mode gain, and fill-in the blanks below with your final answers. 93 - Differential-mode gain= - Common-mode gain = b) Find the differential-output CMRR and the single-ended CMRR, - Differential-mode CMRR= - Single-ended CMRR =

Note that V1 and V2 are ac voltage sources. In the circuit shown, assume transistors are matched and identical. Ignore r, for both transistors. Answer the following questions. a) Derive the expressions for differential-mode gain, and the common-mode gain, and fill-in the blanks below with your final answers. 93 - Differential-mode gain= - Common-mode gain = b) Find the differential-output CMRR and the single-ended CMRR, - Differential-mode CMRR= - Single-ended CMRR =

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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