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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**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:**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.
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 \( G_v = \frac{v_o}{v_s} \)
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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