c) The small signal current in R1 d) The small signal voltage vout

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Please answer question 3C, 3D with details on how to do it. Please make handwriting legible. Thank you. 

### PMOSFET Circuit Analysis

Given the PMOSFET circuit below with the parameters:

- \( V_{THP} = 900 \, \text{mV} \)
- \( K_{PP} = 40 \, \mu \text{A/V}^2 \)

#### Tasks:

**Calculate:**

a) The DC current in R1

b) The DC voltage \( V_{\text{out}} \)

c) The small signal current in R1

d) The small signal voltage \( v_{\text{out}} \)

#### Circuit Diagram Explanation:

The schematic displays a PMOSFET transistor (labeled M1) with the following components and connections:

- **V3 Source**: This is an AC voltage source with parameters given as:
  - \( \text{V\_OFF} = 0 \)
  - \( \text{VAMPL} = 2 \, \text{mV} \)
  - \( \text{FREQ} = 1 \, \text{kHz} \)
  - \( \text{AC} = 1 \)

- **PMOSFET (M1)**: The PMOS transistor has a gate-source voltage driven by V3, with its source connected to \( VDD \), which is at a supply voltage of 5V.

- **Resistor (R1)**: There is a load resistor connected at the drain of the PMOSFET.
  - Resistance value is \( 30 \, \text{k}\Omega \).

- **\( V_{\text{out}} \)**: The output voltage is taken across R1, denoted as \( V_{\text{out}} \).

- **Dimensions of PMOSFET**: The length-to-width ratio is given as:
  - Length \( L = 2 \, \mu \text{m} \)
  - Width \( W = 30 \, \mu \text{m} \)

### Instructions for Analysis:

- **DC Analysis**: Determine the quiescent operating point by computing the DC current and voltage.
- **AC Small Signal Analysis**: Analyze how small AC signals affect the circuit by calculating the small signal current and output voltage. 

Understanding these parameters is crucial for designing and analyzing circuits using PMOSFET transistors in amplification and switching applications.
Transcribed Image Text:### PMOSFET Circuit Analysis Given the PMOSFET circuit below with the parameters: - \( V_{THP} = 900 \, \text{mV} \) - \( K_{PP} = 40 \, \mu \text{A/V}^2 \) #### Tasks: **Calculate:** a) The DC current in R1 b) The DC voltage \( V_{\text{out}} \) c) The small signal current in R1 d) The small signal voltage \( v_{\text{out}} \) #### Circuit Diagram Explanation: The schematic displays a PMOSFET transistor (labeled M1) with the following components and connections: - **V3 Source**: This is an AC voltage source with parameters given as: - \( \text{V\_OFF} = 0 \) - \( \text{VAMPL} = 2 \, \text{mV} \) - \( \text{FREQ} = 1 \, \text{kHz} \) - \( \text{AC} = 1 \) - **PMOSFET (M1)**: The PMOS transistor has a gate-source voltage driven by V3, with its source connected to \( VDD \), which is at a supply voltage of 5V. - **Resistor (R1)**: There is a load resistor connected at the drain of the PMOSFET. - Resistance value is \( 30 \, \text{k}\Omega \). - **\( V_{\text{out}} \)**: The output voltage is taken across R1, denoted as \( V_{\text{out}} \). - **Dimensions of PMOSFET**: The length-to-width ratio is given as: - Length \( L = 2 \, \mu \text{m} \) - Width \( W = 30 \, \mu \text{m} \) ### Instructions for Analysis: - **DC Analysis**: Determine the quiescent operating point by computing the DC current and voltage. - **AC Small Signal Analysis**: Analyze how small AC signals affect the circuit by calculating the small signal current and output voltage. Understanding these parameters is crucial for designing and analyzing circuits using PMOSFET transistors in amplification and switching applications.
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