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Given the circuit (inverted op amp)  how do I find my input voltage?

Given the circuit (inverted op amp)  how do I find my input voltage?

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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Given the circuit (inverted op amp)  how do I find my input voltage? 

 

**Title: Analyzing an Op-Amp Circuit** **Diagram Description:** The diagram depicts an op-amp in a feedback configuration. The input voltage, \( V_{\text{in}} \), is fed through a resistor \( R_1 = 1 \text{k}\Omega \) to the inverting input of the operational amplifier. The non-inverting input is grounded. The op-amp outputs to a feedback loop that connects back to the inverting input through a resistor \( R_2 = 6.2 \text{k}\Omega \). The output voltage, \( V_o \), is measured across a resistor \( R_L = 10 \text{k}\Omega \). The op-amp is powered by a dual supply: +12V and -12V. **Task Instructions:** 1. **Node Equation:** - Write the node equation for the circuit shown, using only the terms \( V_{\text{in}} \), \( V_o \), \( R_1 \), and \( R_2 \). 2. **Equation Rearrangement:** - Rearrange the equation from part (1) to solve for \( \frac{V_o}{V_{\text{in}}} \). 3. **Calculate Gain:** - Replace the resistor values in the expression from part (2) and determine the gain of the op-amp circuit shown. **Educational Explanation:** The operational amplifier circuit presented here is a classic inverting amplifier configuration. The goal is to understand how to derive the gain of the circuit by using node equations and observe the influence of resistors \( R_1 \) and \( R_2 \) on the overall circuit gain. This exercise will illustrate fundamental concepts of op-amp behavior and feedback mechanics.
Transcribed Image Text:**Title: Analyzing an Op-Amp Circuit** **Diagram Description:** The diagram depicts an op-amp in a feedback configuration. The input voltage, \( V_{\text{in}} \), is fed through a resistor \( R_1 = 1 \text{k}\Omega \) to the inverting input of the operational amplifier. The non-inverting input is grounded. The op-amp outputs to a feedback loop that connects back to the inverting input through a resistor \( R_2 = 6.2 \text{k}\Omega \). The output voltage, \( V_o \), is measured across a resistor \( R_L = 10 \text{k}\Omega \). The op-amp is powered by a dual supply: +12V and -12V. **Task Instructions:** 1. **Node Equation:** - Write the node equation for the circuit shown, using only the terms \( V_{\text{in}} \), \( V_o \), \( R_1 \), and \( R_2 \). 2. **Equation Rearrangement:** - Rearrange the equation from part (1) to solve for \( \frac{V_o}{V_{\text{in}}} \). 3. **Calculate Gain:** - Replace the resistor values in the expression from part (2) and determine the gain of the op-amp circuit shown. **Educational Explanation:** The operational amplifier circuit presented here is a classic inverting amplifier configuration. The goal is to understand how to derive the gain of the circuit by using node equations and observe the influence of resistors \( R_1 \) and \( R_2 \) on the overall circuit gain. This exercise will illustrate fundamental concepts of op-amp behavior and feedback mechanics.
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