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Find the voltage gain of the op-amp circuit shown in Fig. P4.30. (R1-20 k0, R2=84 kQ, R3=4 kQ, R4=30 kQ) V₁ R1 Figure P4.30 R2 R3 ww R4 Vo

Find the voltage gain of the op-amp circuit shown in Fig. P4.30. (R1-20 k0, R2=84 kQ, R3=4 kQ, R4=30 kQ) V₁ R1 Figure P4.30 R2 R3 ww R4 Vo

Introductory Circuit Analysis (13th Edition)
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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**Educational Circuit Analysis: Op-Amp Voltage Gain** **Objective:** To determine the voltage gain of the operational amplifier circuit depicted in Figure P4.30. **Given Components:** - \( R1 = 20 \, \text{k}\Omega \) - \( R2 = 84 \, \text{k}\Omega \) - \( R3 = 4 \, \text{k}\Omega \) - \( R4 = 30 \, \text{k}\Omega \) **Circuit Description:** The circuit illustrated in Figure P4.30 comprises: - A voltage source \( V_i \) supplying input to the circuit. - Resistor \( R1 \) is connected in series with the input voltage source. - Resistor \( R2 \) is connected in parallel with \( R1 \). - An operational amplifier (op-amp) configured for voltage amplification. - Resistors \( R3 \) and \( R4 \) are part of the op-amp feedback loop, influencing the gain of the circuit. - The output voltage \( V_o \) is taken from the op-amp's output node. **Explanation of Circuit Function:** The op-amp circuit is a common configuration used to amplify input signals. The arrangement of resistors \( R1 \), \( R2 \), \( R3 \), and \( R4 \) defines specific characteristics of the amplifier, such as its voltage gain. By analyzing the resistor values and their configuration relative to the op-amp, you can calculate the voltage gain using standard op-amp gain formulas. **Upcoming Analysis:** In the subsequent sections, we will detail the steps to calculate the voltage gain of the circuit using nodal and loop analysis methods, ensuring an understanding of the concepts involved in op-amp circuit design.
Transcribed Image Text:**Educational Circuit Analysis: Op-Amp Voltage Gain** **Objective:** To determine the voltage gain of the operational amplifier circuit depicted in Figure P4.30. **Given Components:** - \( R1 = 20 \, \text{k}\Omega \) - \( R2 = 84 \, \text{k}\Omega \) - \( R3 = 4 \, \text{k}\Omega \) - \( R4 = 30 \, \text{k}\Omega \) **Circuit Description:** The circuit illustrated in Figure P4.30 comprises: - A voltage source \( V_i \) supplying input to the circuit. - Resistor \( R1 \) is connected in series with the input voltage source. - Resistor \( R2 \) is connected in parallel with \( R1 \). - An operational amplifier (op-amp) configured for voltage amplification. - Resistors \( R3 \) and \( R4 \) are part of the op-amp feedback loop, influencing the gain of the circuit. - The output voltage \( V_o \) is taken from the op-amp's output node. **Explanation of Circuit Function:** The op-amp circuit is a common configuration used to amplify input signals. The arrangement of resistors \( R1 \), \( R2 \), \( R3 \), and \( R4 \) defines specific characteristics of the amplifier, such as its voltage gain. By analyzing the resistor values and their configuration relative to the op-amp, you can calculate the voltage gain using standard op-amp gain formulas. **Upcoming Analysis:** In the subsequent sections, we will detail the steps to calculate the voltage gain of the circuit using nodal and loop analysis methods, ensuring an understanding of the concepts involved in op-amp circuit design.
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