ind Vo in the op amp circuit shown. 2 ka Vo 4 kb ImA ) to
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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Transcribed Image Text:**Title: Analyzing an Operational Amplifier Circuit**
**Objective:**
To find the output voltage \( V_o \) in the given operational amplifier circuit.
**Circuit Description:**
The circuit consists of the following components:
1. **Current Source:**
- There is a 1 mA current source connected from the ground to the inverting input of the op-amp.
2. **Resistors:**
- A 2 kΩ resistor is connected from the inverting input of the op-amp to the ground.
- Another 2 kΩ resistor is connected from the output of the op-amp back to the inverting input.
- A 4 kΩ resistor is connected as a feedback resistor from the output of the op-amp to ground.
3. **Operational Amplifier:**
- The op-amp is set in a configuration where its non-inverting input is grounded, while the inverting input is connected to other components described above.
**Output Voltage (\( V_o \)) Calculation:**
The task is to find the output voltage \( V_o \) considering the current, resistances, and the typical behavior of an op-amp in negative feedback.
In such configurations, the voltage at both inputs of the op-amp tends to be equal due to the virtual short concept in ideal op-amp analysis. The feedback mechanism helps maintain this by adjusting \( V_o \).
The circuit resembles an inverting amplifier configuration, and detailed analysis using nodal equations or established formulas for inverting amplifiers can be utilized to determine \( V_o \). Here, you would apply Kirchhoff's laws and op-amp rules to solve for the required output voltage.
**Diagram Explanation:**
- The grid background serves as a coordinate system to help visualize the connections and orientation of components.
- The current direction is shown by the arrow in the current source symbol.
- The op-amp symbol reflects standard notations, with non-inverting (+) and inverting (-) terminals marked clearly.
- Resistors are represented by zigzag lines and labeled with their resistance values for clarity.
This analysis and description provide a structured approach to understand and calculate the output voltage in the given operational amplifier circuit setup.
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