a) b) c) d) e) small signal parameters mo Draw the small signal circuit for the amplifier Input resistance Rin Output Resistance R out V Voltage gain Ay == V
a) b) c) d) e) small signal parameters mo Draw the small signal circuit for the amplifier Input resistance Rin Output Resistance R out V Voltage gain Ay == V
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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![**Transcription for Educational Content**
**Amplifier Analysis Problems**
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 \( R_{\text{in}} \)
d) Output resistance \( R_{\text{out}} \)
e) Voltage gain \( A_v = \frac{v_o}{v_i} \)
f) Overall voltage gain \( G_v = \frac{v_o}{v_s} \)
---
**Problem 1**
The nMOSFET has:
\[ V_t = 1V, \quad \frac{1}{2}k'\frac{W}{L} = 0.25, \quad V_A = 100V \]
Find \( R_1 \).
---
**Diagram Explanation:**
The provided circuit diagram includes:
- A voltage source \( V_s \) connected through a resistor \( R_s \) (5kΩ) to the gate of an nMOSFET.
- The MOSFET's gate is also connected to a 30kΩ resistor leading to the ground.
- The drain is connected to a resistor \( R_1 \) and a 2kΩ resistor leading to a 5V supply.
- The output voltage \( V_o \) is taken over a 5kΩ resistor, which is connected in series with the 2kΩ resistor.
- The source of the MOSFET is connected to a 1mA current source tied to the ground.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e18a88-13ba-47d2-8c84-ec9d29397d2a%2Fa95b449d-4b7d-487f-a606-80a24a5b2366%2Fvpl2r9e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Content**
**Amplifier Analysis Problems**
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 \( R_{\text{in}} \)
d) Output resistance \( R_{\text{out}} \)
e) Voltage gain \( A_v = \frac{v_o}{v_i} \)
f) Overall voltage gain \( G_v = \frac{v_o}{v_s} \)
---
**Problem 1**
The nMOSFET has:
\[ V_t = 1V, \quad \frac{1}{2}k'\frac{W}{L} = 0.25, \quad V_A = 100V \]
Find \( R_1 \).
---
**Diagram Explanation:**
The provided circuit diagram includes:
- A voltage source \( V_s \) connected through a resistor \( R_s \) (5kΩ) to the gate of an nMOSFET.
- The MOSFET's gate is also connected to a 30kΩ resistor leading to the ground.
- The drain is connected to a resistor \( R_1 \) and a 2kΩ resistor leading to a 5V supply.
- The output voltage \( V_o \) is taken over a 5kΩ resistor, which is connected in series with the 2kΩ resistor.
- The source of the MOSFET is connected to a 1mA current source tied to the ground.
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