# Operational Amplifier Circuit Design## Problem StatementChoose values for \( Rf1 \), \( Ra \), and \( Rb \) so the output of the second stage equals \( 4V1 - 5V2 \).## Circuit Diagram### Stage 1- **Input Voltage:** \( V1 \)- **Resistor Rf1:** Variable resistor connected in feedback- **Operational Amplifier (Op-Amp):** 741- **Feedback:** Negative feedback with \( 1k\Omega \) and \( Rf1 \)### Stage 2- **Input Voltage:** \( V2 \)- **Resistors:** \( Rb \) in feedback loop, connected to \( Ra \)- **Operational Amplifier (Op-Amp):** 741### Power Supply- **Voltage Supply for Op-Amps:** \(\pm 35V\)## Options for Resistor Values1. \( Rf1 = 1k\Omega, Ra = 200\Omega, Rb = 250\Omega \)2. \( Rf1 = 1k\Omega, Ra = 5k\Omega, Rb = 4k\Omega \)3. \( Rf1 = 4k\Omega, Ra = 5k\Omega, Rb = 250\Omega \)4. \( Rf1 = 250\Omega, Ra = 200\Omega, Rb = 250\Omega \)## ObjectiveMatch the gain configuration to achieve the required equation \( 4V1 - 5V2 \) for the second stage output by selecting appropriate resistor values from the given options.

First write the output expression in terms of V1 , V2 , Ra , Rb and Rf1. now equate calculated output gain with given output and than determine Ra , Rb and Rf1 .

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Choose values for Rf1, Ra and Rb so the output of the second stage = 4v1 - 5v2. V1 Rf1 1kQ. A-35.0V Rb 741 STAGE 1 1kQ Ra V2 -35.0V 35.0V 741 STAGE 2 35.0V O Rf1 = 1k, Ra = 200ohms, Rb-250ohms Rf1 = 1k, Ra= 5k, Rb = 4k O Rf1 = 4k, Ra= 5k, Rb = 250ohms O Rf1 = 250ohms, Ra = 200ohms, Rb=250ohms %3D

Choose values for Rf1, Ra and Rb so the output of the second stage = 4v1 - 5v2. V1 Rf1 1kQ. A-35.0V Rb 741 STAGE 1 1kQ Ra V2 -35.0V 35.0V 741 STAGE 2 35.0V O Rf1 = 1k, Ra = 200ohms, Rb-250ohms Rf1 = 1k, Ra= 5k, Rb = 4k O Rf1 = 4k, Ra= 5k, Rb = 250ohms O Rf1 = 250ohms, Ra = 200ohms, Rb=250ohms %3D

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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Concept explainers

BJT (Bipolar Junction Transistor)

A BJT is a semiconductor device with 3 terminals that consist of a p-n junction diode that can amplify the signal or current. It is a current-controlled device. The three BJT terminals are base, collector, and emitter. The BJT works with the charge carrier, the two type of carriers in the BJT are holes and electrons, the charge carriers flow by the process of recombination. The signal to be amplifier is generally given as the input at the base terminal and an amplified form of it is available at the collector terminal.

Question

# Operational Amplifier Circuit Design

## Problem Statement

Choose values for \( Rf1 \), \( Ra \), and \( Rb \) so the output of the second stage equals \( 4V1 - 5V2 \).

## Circuit Diagram

### Stage 1
- **Input Voltage:** \( V1 \)
- **Resistor Rf1:** Variable resistor connected in feedback
- **Operational Amplifier (Op-Amp):** 741
- **Feedback:** Negative feedback with \( 1k\Omega \) and \( Rf1 \)

### Stage 2
- **Input Voltage:** \( V2 \)
- **Resistors:** \( Rb \) in feedback loop, connected to \( Ra \)
- **Operational Amplifier (Op-Amp):** 741

### Power Supply
- **Voltage Supply for Op-Amps:** \(\pm 35V\)

## Options for Resistor Values

1. \( Rf1 = 1k\Omega, Ra = 200\Omega, Rb = 250\Omega \)
2. \( Rf1 = 1k\Omega, Ra = 5k\Omega, Rb = 4k\Omega \)
3. \( Rf1 = 4k\Omega, Ra = 5k\Omega, Rb = 250\Omega \)
4. \( Rf1 = 250\Omega, Ra = 200\Omega, Rb = 250\Omega \)

## Objective

Match the gain configuration to achieve the required equation \( 4V1 - 5V2 \) for the second stage output by selecting appropriate resistor values from the given options.

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