Vin For the circuit shown, draw the corresponding small signal model. Vcc Vcc Vcc W ww|ll R1 R2 WWW Q1 Q2 Re Idc Vo
Vin For the circuit shown, draw the corresponding small signal model. Vcc Vcc Vcc W ww|ll R1 R2 WWW Q1 Q2 Re Idc Vo
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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![### Transcription for Educational Website
---
**Title: Drawing the Small Signal Model for a Given Circuit**
**Introduction:**
In this tutorial, we will delve into the process of drawing the small signal model for the given circuit. This is a crucial step in analyzing and understanding the behavior of electronic circuits, especially in signal processing applications.
**Circuit Analysis:**
Let’s consider the circuit shown below where our primary goal is to draw the corresponding small signal model.
**[Image of Circuit Provided]**
**Components & Connections:**
The circuit comprises the following components:
1. **Resistors:**
- **R1:** Connected between the supply voltage \( V_{cc} \) and the input point.
- **R2:** Connected between the input point and the ground.
- **Re:** Connected between the emitter of transistor Q2 and the ground.
2. **Capacitor:**
- **C:** Connected between the input node (where \( V_{in} \) is applied) and the base of transistor Q2.
3. **Transistors (BJTs):**
- **Q1:** NPN transistor with its collector connected to \( V_{cc} \) and its emitter connected to the collector of Q2.
- **Q2:** NPN transistor with its emitter connected to the ground through resistor Re and its collector connected to the emitter of Q1.
4. **Current Source:**
- **I_{dc}:** Connected between \( V_{cc} \) and the output node \( V_o \).
**Explanation of Connections:**
- The input signal \( V_{in} \) is applied at the common node of R1 and R2.
- The coupling capacitor C ensures that only the AC component of the input signal is passed to the base of Q2.
- The voltage supply \( V_{cc} \) is connected to the collectors of both transistors via the respective nodes.
**Objective:**
The task is to draw the small signal model corresponding to this setup.
**Small Signal Model Construction:**
To construct the small signal model, follow these general steps:
1. **Identify the AC equivalent circuit elements.**
- Replace each transistor with its small signal equivalent (typically involving \( r_{\pi} \), \( g_m \), and \( r_o \))
- Replace capacitors with short circuits (assuming high-frequency response).
- Replace DC voltage sources with](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd230794e-e523-4ec2-92f4-d9c51a06a3bf%2F0658dccd-d985-4d32-bd9e-34c6d4f98059%2Fiipoudw_processed.png&w=3840&q=75)
Transcribed Image Text:### Transcription for Educational Website
---
**Title: Drawing the Small Signal Model for a Given Circuit**
**Introduction:**
In this tutorial, we will delve into the process of drawing the small signal model for the given circuit. This is a crucial step in analyzing and understanding the behavior of electronic circuits, especially in signal processing applications.
**Circuit Analysis:**
Let’s consider the circuit shown below where our primary goal is to draw the corresponding small signal model.
**[Image of Circuit Provided]**
**Components & Connections:**
The circuit comprises the following components:
1. **Resistors:**
- **R1:** Connected between the supply voltage \( V_{cc} \) and the input point.
- **R2:** Connected between the input point and the ground.
- **Re:** Connected between the emitter of transistor Q2 and the ground.
2. **Capacitor:**
- **C:** Connected between the input node (where \( V_{in} \) is applied) and the base of transistor Q2.
3. **Transistors (BJTs):**
- **Q1:** NPN transistor with its collector connected to \( V_{cc} \) and its emitter connected to the collector of Q2.
- **Q2:** NPN transistor with its emitter connected to the ground through resistor Re and its collector connected to the emitter of Q1.
4. **Current Source:**
- **I_{dc}:** Connected between \( V_{cc} \) and the output node \( V_o \).
**Explanation of Connections:**
- The input signal \( V_{in} \) is applied at the common node of R1 and R2.
- The coupling capacitor C ensures that only the AC component of the input signal is passed to the base of Q2.
- The voltage supply \( V_{cc} \) is connected to the collectors of both transistors via the respective nodes.
**Objective:**
The task is to draw the small signal model corresponding to this setup.
**Small Signal Model Construction:**
To construct the small signal model, follow these general steps:
1. **Identify the AC equivalent circuit elements.**
- Replace each transistor with its small signal equivalent (typically involving \( r_{\pi} \), \( g_m \), and \( r_o \))
- Replace capacitors with short circuits (assuming high-frequency response).
- Replace DC voltage sources with
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