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I am in need of some help for calculating the gain ( vo/vs) in this circuit

I am in need of some help for calculating the gain ( vo/vs) in this circuit

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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I am in need of some help for calculating the gain ( vo/vs) in this circuit

 

**Transcription and Explanation of the Circuit Diagram** **Figure: Wheatstone Bridge with Operational Amplifier** The diagram represents a Wheatstone bridge circuit integrated with an operational amplifier. Below is a detailed description of the circuit components and their connections: 1. **Resistors:** - Four resistors are arranged in a diamond configuration forming the Wheatstone bridge. - Top-left resistor: \(2 \, \text{k}\Omega\) - Top-right resistor: \(3 \, \text{k}\Omega\) - Bottom-left resistor: \(8 \, \text{k}\Omega\) - Bottom-right resistor: \(4 \, \text{k}\Omega\) 2. **Voltage Source (\(v_s\)):** - A voltage source is connected horizontally across the bridge. - The positive terminal of the voltage source is connected to the node between the \(2 \, \text{k}\Omega\) and \(3 \, \text{k}\Omega\) resistors. - The negative terminal is connected to the node between the \(8 \, \text{k}\Omega\) and \(4 \, \text{k}\Omega\) resistors. 3. **Operational Amplifier:** - The operational amplifier is depicted on the right side. - An input from the node between the \(3 \, \text{k}\Omega\) and \(4 \, \text{k}\Omega\) resistors is connected to the inverting input (-) of the op-amp. - The non-inverting input (+) is connected to the ground. 4. **Feedback Resistor:** - A feedback resistor of \(30 \, \text{k}\Omega\) is connected from the output of the op-amp back to its inverting input (-). 5. **Output Voltage (\(v_o\)):** - The output voltage \(v_o\) is taken from the output of the operational amplifier. **Explanation:** This circuit is a classic example of interfacing a Wheatstone bridge with an operational amplifier to amplify the bridge output. The bridge balances and measures small changes in resistance, often used for sensors like strain gauges. The operational amplifier, configured as a differential amplifier, increases the sensitivity of the measurement by amplifying the voltage difference produced by any imbalance in the bridge.
Transcribed Image Text:**Transcription and Explanation of the Circuit Diagram** **Figure: Wheatstone Bridge with Operational Amplifier** The diagram represents a Wheatstone bridge circuit integrated with an operational amplifier. Below is a detailed description of the circuit components and their connections: 1. **Resistors:** - Four resistors are arranged in a diamond configuration forming the Wheatstone bridge. - Top-left resistor: \(2 \, \text{k}\Omega\) - Top-right resistor: \(3 \, \text{k}\Omega\) - Bottom-left resistor: \(8 \, \text{k}\Omega\) - Bottom-right resistor: \(4 \, \text{k}\Omega\) 2. **Voltage Source (\(v_s\)):** - A voltage source is connected horizontally across the bridge. - The positive terminal of the voltage source is connected to the node between the \(2 \, \text{k}\Omega\) and \(3 \, \text{k}\Omega\) resistors. - The negative terminal is connected to the node between the \(8 \, \text{k}\Omega\) and \(4 \, \text{k}\Omega\) resistors. 3. **Operational Amplifier:** - The operational amplifier is depicted on the right side. - An input from the node between the \(3 \, \text{k}\Omega\) and \(4 \, \text{k}\Omega\) resistors is connected to the inverting input (-) of the op-amp. - The non-inverting input (+) is connected to the ground. 4. **Feedback Resistor:** - A feedback resistor of \(30 \, \text{k}\Omega\) is connected from the output of the op-amp back to its inverting input (-). 5. **Output Voltage (\(v_o\)):** - The output voltage \(v_o\) is taken from the output of the operational amplifier. **Explanation:** This circuit is a classic example of interfacing a Wheatstone bridge with an operational amplifier to amplify the bridge output. The bridge balances and measures small changes in resistance, often used for sensors like strain gauges. The operational amplifier, configured as a differential amplifier, increases the sensitivity of the measurement by amplifying the voltage difference produced by any imbalance in the bridge.
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