B: For the following circuit, assume that 1 = 0 (no device output conductances), y = 0 (no backgate transconductances) and ignore capacitances. a) Derive or write down by inspection the impedance seen looking into the source of M2, R*.(find the answer from the below options) VoD Vout Vo R*. Rp Vin 어 R* = O (1/gm2) +RP none of these O (1/gm2) + RD O gm2 O 1/gm2

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## Educational Website Content: Understanding Impedance in MOSFET Circuits

**B: Circuit Analysis and Impedance Calculation**

For the following circuit, assume that:
- λ = 0 (no device output conductances)
- γ = 0 (no backgate transconductances)
- Ignore capacitances.

### Problem Statement

**a)** Derive or write down by inspection the impedance seen looking into the source of \( M_2 \), denoted as \( R^* \). (Find the answer from the options below)

### Circuit Description

The circuit comprises two MOSFETs, labeled \( M_1 \) and \( M_2 \). Here's a breakdown of the components and their connections:

- **\( V_{DD} \)**: The power supply rail at the top.
- **\( R_D \)**: A resistor connected to \( V_{DD} \) and the drain of \( M_2 \).
- **\( V_{\text{out}} \)**: The output voltage measured across the drain of \( M_2 \).
- **\( V_b \)**: The bias voltage at the gate of \( M_2 \).
- **\( R^* \)**: The impedance at the source of \( M_2 \).
- **\( V_{\text{in}} \)**: The input voltage at the gate of \( M_1 \).
- **\( R_P \)**: A resistor connected to the source of \( M_1 \).

### Objective

Determine the expression for \( R^* \), the impedance seen from the source of \( M_2 \).

### Answer Options

1. \((1/gm_2) + R_P\)
2. None of these
3. \((1/gm_2) + R_D\)
4. \(gm_2\)
5. \(1/gm_2\)

### Solution

By analyzing the circuit and using known relationships in MOSFETs, you'll find the impedance \( R^* \) which affects how \( M_2 \) operates. Compare each choice and select the correct expression for \( R^* \).

Use these insights to solve the circuit and further your understanding of electronic components and impedance calculation.

---
Transcribed Image Text:## Educational Website Content: Understanding Impedance in MOSFET Circuits **B: Circuit Analysis and Impedance Calculation** For the following circuit, assume that: - λ = 0 (no device output conductances) - γ = 0 (no backgate transconductances) - Ignore capacitances. ### Problem Statement **a)** Derive or write down by inspection the impedance seen looking into the source of \( M_2 \), denoted as \( R^* \). (Find the answer from the options below) ### Circuit Description The circuit comprises two MOSFETs, labeled \( M_1 \) and \( M_2 \). Here's a breakdown of the components and their connections: - **\( V_{DD} \)**: The power supply rail at the top. - **\( R_D \)**: A resistor connected to \( V_{DD} \) and the drain of \( M_2 \). - **\( V_{\text{out}} \)**: The output voltage measured across the drain of \( M_2 \). - **\( V_b \)**: The bias voltage at the gate of \( M_2 \). - **\( R^* \)**: The impedance at the source of \( M_2 \). - **\( V_{\text{in}} \)**: The input voltage at the gate of \( M_1 \). - **\( R_P \)**: A resistor connected to the source of \( M_1 \). ### Objective Determine the expression for \( R^* \), the impedance seen from the source of \( M_2 \). ### Answer Options 1. \((1/gm_2) + R_P\) 2. None of these 3. \((1/gm_2) + R_D\) 4. \(gm_2\) 5. \(1/gm_2\) ### Solution By analyzing the circuit and using known relationships in MOSFETs, you'll find the impedance \( R^* \) which affects how \( M_2 \) operates. Compare each choice and select the correct expression for \( R^* \). Use these insights to solve the circuit and further your understanding of electronic components and impedance calculation. ---
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