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Consider the active load shown below. a) Draw the corresponding small signal model. (Do not make any approximations) b) Using your small signal model, perform small signal analysisto determine Ro. Show your work Vdd Vo

Consider the active load shown below. a) Draw the corresponding small signal model. (Do not make any approximations) b) Using your small signal model, perform small signal analysisto determine Ro. Show your work Vdd Vo

Introductory Circuit Analysis (13th Edition)
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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**3) Consider the active load shown below.** a) Draw the corresponding small signal model. (Do not make any approximations.) b) Using your small signal model, perform small signal analysis to determine Ro. **Show your work!** *Diagram Explanation:* - The circuit diagram features an NMOS transistor used as an active load. - The drain is connected to the positive supply voltage \( V_{dd} \). - The gate is connected to the drain, a configuration common in active loads. - The source is grounded through a resistor \( R \). - The output voltage \( V_o \) is measured across the resistor \( R \). To analyze the circuit, follow these steps: 1. **Identify Components:** - Note the NMOS transistor connections: drain to \( V_{dd} \), gate to drain, source to resistor \( R \). 2. **Develop Small Signal Model:** - Replace the transistor with its small signal model. - Focus on \( g_m \) (transconductance), \( r_o \) (output resistance), and other intrinsic parameters based on biasing. 3. **Perform Small Signal Analysis:** - Use the small signal model to derive expressions for output resistance \( R_o \). - Illustrate calculations clearly, showing assumptions and simplifications used in the model. The task involves drawing the small signal schematic and calculating using small signal parameters to find the output resistance \( R_o \).
Transcribed Image Text:**3) Consider the active load shown below.** a) Draw the corresponding small signal model. (Do not make any approximations.) b) Using your small signal model, perform small signal analysis to determine Ro. **Show your work!** *Diagram Explanation:* - The circuit diagram features an NMOS transistor used as an active load. - The drain is connected to the positive supply voltage \( V_{dd} \). - The gate is connected to the drain, a configuration common in active loads. - The source is grounded through a resistor \( R \). - The output voltage \( V_o \) is measured across the resistor \( R \). To analyze the circuit, follow these steps: 1. **Identify Components:** - Note the NMOS transistor connections: drain to \( V_{dd} \), gate to drain, source to resistor \( R \). 2. **Develop Small Signal Model:** - Replace the transistor with its small signal model. - Focus on \( g_m \) (transconductance), \( r_o \) (output resistance), and other intrinsic parameters based on biasing. 3. **Perform Small Signal Analysis:** - Use the small signal model to derive expressions for output resistance \( R_o \). - Illustrate calculations clearly, showing assumptions and simplifications used in the model. The task involves drawing the small signal schematic and calculating using small signal parameters to find the output resistance \( R_o \).
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