AC V RS CIN 1 K R₂ R₁ 2 M R₂ 3 M AM Cc Rs 2K R. R₁ Vo 1K -
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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Transcribed Image Text:**MOSFET Circuit Analysis**
**Parameters:**
- \( V_t = 1\:V \)
- \( \frac{1}{2}k' \frac{W}{L} = 0.5\:mA/V^2 \)
- \( V_A \to \infty \)
**Circuit Diagram Overview:**
This circuit is a common-source MOSFET amplifier circuit, featuring the following components and connections:
- **Input Source (\(V_s\))**: An AC signal source connected through a resistor \( R_S = 1\:k\Omega \) and capacitor \( C_{IN} \) to the gate (G) of the MOSFET.
- **MOSFET**:
- Gate (G): Connected to resistors \( R_1 = 2\: M\Omega \) and \( R_2 = 3\: M\Omega \), forming a voltage divider.
- Drain (D): Connected to a power supply \( V_{DD} = 5\:V \).
- Source (S): Connected to a resistor \( R_S = 2\: k\Omega \) and capacitor \( C_C \) leading to the output.
- **Output Section**:
- The output voltage (\( v_o \)) is taken across the load resistor \( R_L = 1\: k\Omega \).
- The output is coupled through the capacitor \( C_C \) which blocks DC components.
**Key Components Explained:**
- **Resistors \( R_1 \) & \( R_2 \)**: Form a voltage divider biasing network for the MOSFET gate.
- **Capacitors \( C_{IN} \) & \( C_C \)**: Serve as coupling capacitors to allow AC signals to pass while blocking DC voltage.
- **Power Supply \( V_{DD} \)**: Provides the necessary voltage to the circuit.
This circuit is typically used to amplify small AC signals in analog electronics, with the MOSFET providing the necessary gain.

Transcribed Image Text:For each of the following problems, determine:
a) Small signal parameters \( g_m, r_o \)
b) Draw the small signal circuit for the amplifier
c) Input resistance \( R_{in} \)
d) Output resistance \( R_{out} \)
e) Voltage gain \( A_v = \frac{v_o}{v_i} \)
f) Overall voltage gain \( G_v = \frac{v_o}{v_s} \)
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