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4.7K2 1kQ 1kQ V1 + Vo

4.7K2 1kQ 1kQ V1 + 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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Summing Amp, output voltage of V1 and V2. 

This image illustrates an operational amplifier (op-amp) circuit configured in a differential amplifier setup. ### Description of Components: - **Voltage Sources**: - \( v_1 \) and \( v_2 \) are the input voltage sources connected to resistors. - **Resistors**: - Two 1kΩ resistors are in series with each input voltage source. - A 4.7kΩ resistor is connected from the output to the non-inverting input of the op-amp. - **Operational Amplifier**: - The op-amp has two inputs: the inverting input (\( v^- \)) and the non-inverting input (\( v^+ \)). - The input currents at these terminals are \( i^- \) and \( i^+ \) respectively. - The op-amp outputs a voltage \( v_0 \). ### Explanation of Function: This differential amplifier setup aims to amplify the difference between the two input voltages (\( v_1 - v_2 \)), using the pairs of resistors as a means to set the gain. The feedback resistor (4.7kΩ) influences the gain and stability of the amplifier. This configuration is commonly used in data acquisition, instrumentation, and signal processing applications.
Transcribed Image Text:This image illustrates an operational amplifier (op-amp) circuit configured in a differential amplifier setup. ### Description of Components: - **Voltage Sources**: - \( v_1 \) and \( v_2 \) are the input voltage sources connected to resistors. - **Resistors**: - Two 1kΩ resistors are in series with each input voltage source. - A 4.7kΩ resistor is connected from the output to the non-inverting input of the op-amp. - **Operational Amplifier**: - The op-amp has two inputs: the inverting input (\( v^- \)) and the non-inverting input (\( v^+ \)). - The input currents at these terminals are \( i^- \) and \( i^+ \) respectively. - The op-amp outputs a voltage \( v_0 \). ### Explanation of Function: This differential amplifier setup aims to amplify the difference between the two input voltages (\( v_1 - v_2 \)), using the pairs of resistors as a means to set the gain. The feedback resistor (4.7kΩ) influences the gain and stability of the amplifier. This configuration is commonly used in data acquisition, instrumentation, and signal processing applications.
Expert Solution
Step 1

The output voltage for a Summing Op-amp in inverting mode is given by:

Electrical Engineering homework question answer, step 1, image 1

Where,

The feedback resistance is “Rf” which is 4.7 kΩ,

The input resistance to 1st voltage source is “R1” which is 1 kΩ,

The input resistance to 2nd voltage source is “R2” which is 1 kΩ.

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