) Determine Vo for the cirmit shown below Vi R. Vr Vo Vo= Voi + Voz

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Title: Understanding Operational Amplifier Circuit Analysis**

**Objective:** Determine \( V_o \) for the circuit shown below.

**Description:**
The image depicts an operational amplifier (op-amp) circuit. The circuit includes the following components:

- Two input voltages: \( V_1 \) and \( V_2 \).
- Two resistors connected to the inputs: \( R_1 \) and \( R_2 \) respectively.
- A feedback resistor: \( R_F \).
- Operational amplifier with a non-inverting (+) and an inverting (-) terminal.

**Diagram Explanation:**
- The input voltage \( V_1 \) is connected through resistor \( R_1 \) to the inverting input of the op-amp.
- Similarly, the input voltage \( V_2 \) connects through resistor \( R_2 \) to the same inverting input.
- The feedback resistor \( R_F \) connects the output voltage \( V_o \) back to the inverting input.
- The non-inverting input is grounded.

**Equation:**
The output voltage \( V_o \) is derived through the formula: 
\[ V_o = V_{o1} + V_{o2} \]

This formula suggests that the output voltage is the sum of contributions from each input voltage through their respective paths.

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This educational module helps in understanding the superposition principle in operational amplifiers where the total output is the algebraic sum of the individual outputs due to each input.
Transcribed Image Text:Certainly! Here's a transcription of the content tailored for an educational website: --- **Title: Understanding Operational Amplifier Circuit Analysis** **Objective:** Determine \( V_o \) for the circuit shown below. **Description:** The image depicts an operational amplifier (op-amp) circuit. The circuit includes the following components: - Two input voltages: \( V_1 \) and \( V_2 \). - Two resistors connected to the inputs: \( R_1 \) and \( R_2 \) respectively. - A feedback resistor: \( R_F \). - Operational amplifier with a non-inverting (+) and an inverting (-) terminal. **Diagram Explanation:** - The input voltage \( V_1 \) is connected through resistor \( R_1 \) to the inverting input of the op-amp. - Similarly, the input voltage \( V_2 \) connects through resistor \( R_2 \) to the same inverting input. - The feedback resistor \( R_F \) connects the output voltage \( V_o \) back to the inverting input. - The non-inverting input is grounded. **Equation:** The output voltage \( V_o \) is derived through the formula: \[ V_o = V_{o1} + V_{o2} \] This formula suggests that the output voltage is the sum of contributions from each input voltage through their respective paths. --- This educational module helps in understanding the superposition principle in operational amplifiers where the total output is the algebraic sum of the individual outputs due to each input.
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To find the output of the operational Amplifier 

Using superposition principle 

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