1. Calculate v3/v₁ for the circuit of Fig. 4.3 (a) V1 = tr R1 Inverter •IF Rf W Fig. 4.3 (a) V3 www R4
1. Calculate v3/v₁ for the circuit of Fig. 4.3 (a) V1 = tr R1 Inverter •IF Rf W Fig. 4.3 (a) V3 www R4
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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![**1. Calculate \( v_3/v_1 \) for the circuit of Fig. 4.3 (a)**
The diagram in Fig. 4.3 (a) represents an inverting amplifier circuit using an operational amplifier (op-amp). The circuit consists of the following components:
- **Op-Amp**: The triangle symbol represents the operational amplifier.
- **Resistors**:
- \( R_1 \): Connected in series with the input voltage \( V_1 \).
- \( R_f \): Feedback resistor connected between the output (V3) and the inverting input (-) of the op-amp.
- \( R_4 \): Connected in series with the output \( V_3 \).
- **Voltage Source**:
- \( V_1 \): Input voltage connected to the non-inverting input (+).
- The circuit acts as an inverter, changing the phase of the input signal.
To calculate the voltage gain \( v_3/v_1 \), the formula for an inverting amplifier is used:
\[
v_3/v_1 = - \frac{R_f}{R_1}
\]
This relationship shows that the gain of the circuit is determined by the ratio of the feedback resistor (\( R_f \)) to the input resistor (\( R_1 \)), with the negative sign indicating a phase inversion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd5b590e-a87f-43e9-822d-c868cc7765f5%2F4e0aaf96-67f1-4eeb-915b-08b3ac7130af%2F18l6n0u_processed.png&w=3840&q=75)
Transcribed Image Text:**1. Calculate \( v_3/v_1 \) for the circuit of Fig. 4.3 (a)**
The diagram in Fig. 4.3 (a) represents an inverting amplifier circuit using an operational amplifier (op-amp). The circuit consists of the following components:
- **Op-Amp**: The triangle symbol represents the operational amplifier.
- **Resistors**:
- \( R_1 \): Connected in series with the input voltage \( V_1 \).
- \( R_f \): Feedback resistor connected between the output (V3) and the inverting input (-) of the op-amp.
- \( R_4 \): Connected in series with the output \( V_3 \).
- **Voltage Source**:
- \( V_1 \): Input voltage connected to the non-inverting input (+).
- The circuit acts as an inverter, changing the phase of the input signal.
To calculate the voltage gain \( v_3/v_1 \), the formula for an inverting amplifier is used:
\[
v_3/v_1 = - \frac{R_f}{R_1}
\]
This relationship shows that the gain of the circuit is determined by the ratio of the feedback resistor (\( R_f \)) to the input resistor (\( R_1 \)), with the negative sign indicating a phase inversion.
Expert Solution
Step 1
Given:
The inverting op-amp circuit.
The load resistance R4
The feedback resistance Rf
Input resistance R1
Output voltage V3
Input voltage V1
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