4.15 For the NMOS common-source amplifier in Figure P4.15, the transistor parameters are: VTN = 0.8 V, K, = 1 mA/V², and 2 = 0. The circuit para- meters are VDD = 5 V, Rs = 1 k2, Rp = 4 k2, R1 = 225 k2, and R2 = 175 k2. (a) Calculate the quiescent values Ipo and VpsQ. (b) Deter- mine the small-signal voltage gain for R1 = 0. (c) Determine the value of Rị that will reduce the small-signal voltage gain to 75 percent of the value found in part (b). VDD Rp Rin Cc2 Cci Figure P4.15

4.15 For the NMOS common-source amplifier in Figure P4.15, the transistor parameters are: VTN = 0.8 V, K, = 1 mA/V², and 2 = 0. The circuit para- meters are VDD = 5 V, Rs = 1 k2, Rp = 4 k2, R1 = 225 k2, and R2 = 175 k2. (a) Calculate the quiescent values Ipo and VpsQ. (b) Deter- mine the small-signal voltage gain for R1 = 0. (c) Determine the value of Rị that will reduce the small-signal voltage gain to 75 percent of the value found in part (b). VDD Rp Rin Cc2 Cci Figure P4.15

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

### Problem 4.15: NMOS Common-Source Amplifier

For the NMOS common-source amplifier in Figure P4.15, the transistor parameters are given as follows:

- Threshold voltage: \( V_{TN} = 0.8 \, \text{V} \)
- Transconductance parameter: \( K_n = 1 \, \text{mA/V}^2 \)
- Channel-length modulation parameter: \( \lambda = 0 \)

**Circuit Parameters:**

- \( V_{DD} = 5 \, \text{V} \)
- \( R_S = 1 \, \text{k}\Omega \)
- \( R_D = 4 \, \text{k}\Omega \)
- \( R_1 = 225 \, \text{k}\Omega \)
- \( R_2 = 175 \, \text{k}\Omega \)

#### Tasks:

(a) **Quiescent Values Calculation:**
Calculate the quiescent values \( I_{DQ} \) and \( V_{DSQ} \).

(b) **Small-Signal Voltage Gain:**
Determine the small-signal voltage gain for \( R_L = \infty \).

(c) **Adjusting Load Resistance:**
Determine the value of \( R_L \) that will reduce the small-signal voltage gain to 75 percent of the value found in part (b).

#### Circuit Diagram Explanation:

- **Components:**
- \( V_{DD} \): Power supply voltage connected at the top.
- \( R_1 \) and \( R_2 \): Biasing resistors forming a voltage divider.
- \( R_S \): Source resistor connected from the source to ground.
- \( R_D \): Drain resistor connected from the drain to \( V_{DD} \).
- \( R_L \): Load resistor connected at the output.
- \( C_{C1} \) and \( C_{C2} \): Coupling capacitors isolating DC biasing.
- \( \text{NMOS transistor}\): Main amplifying device.
- \( v_i \): Input signal.
- \( v_o \): Output signal across \( R_L \).

- **Operational Details:**
- The circuit amplifies the input signal \( v_i \) and outputs it as \( v_o \) with increased amplitude, depending on the voltage gain

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