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Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Title: Analyzing Output Voltage in Operational Amplifier Circuits**

**Introduction:**
The objective is to find the output voltage, \( V_o \), in the circuits illustrated below. These circuits involve operational amplifiers and various input signals, including sinusoidal and triangular waveforms.

---

**Circuit 1:**
- **Configuration:**
  - Non-inverting operational amplifier.
  - Input: 10 mV AC signal at 1 kHz.
  - Positive terminal connected to a 5K resistor.
  - Feedback resistor: 10K connected from the output to the inverting terminal.

- **Task:** Determine \( V_o \).

---

**Circuit 2:**
- **Configuration:**
  - Inverting operational amplifier with a triangular waveform.
  - Input: 1V peak, 1 kHz triangular waveform.
  - Resistor: 10K from the input to the inverting terminal.
  
- **Note:** Sketch \( V_{in} \) above \( V_o \) over time.

---

**Circuit 3:**
- **Configuration:**
  - Cascade of inverting amplifiers.
  - First Stage:
    - Input: 2V DC.
    - Resistor: 10K from the input to the inverting terminal.
    - Feedback: 10K resistor.
  - Second Stage:
    - Gain determined by the feedback network.
    - Additional 2V DC offset applied at the non-inverting terminal.

- **Task:** Determine \( V_o \).

---

**Circuit 4:**
- **Configuration:**
  - Inverting operational amplifier.
  - Input: 3V DC.
  - Single resistor of 10K from the input to the inverting terminal.

- **Task:** Determine \( V_o \).

---

**Circuit 5:**
- **Configuration:**
  - Inverting operational amplifier with sinusoidal input.
  - Input: 2.5V peak-to-peak sine wave at 1 kHz.
  - Feedback resistor network: 10K and 2K resistors, with an additional 1K resistor to ground.

- **Task:** Determine \( V_o \).

---

**Conclusion:**
Each circuit provides a unique scenario for analyzing the behavior of operational amplifiers with different input signals. Understanding the configuration and calculating the gain is essential in predicting the output voltage \( V_o \).

---
Transcribed Image Text:**Title: Analyzing Output Voltage in Operational Amplifier Circuits** **Introduction:** The objective is to find the output voltage, \( V_o \), in the circuits illustrated below. These circuits involve operational amplifiers and various input signals, including sinusoidal and triangular waveforms. --- **Circuit 1:** - **Configuration:** - Non-inverting operational amplifier. - Input: 10 mV AC signal at 1 kHz. - Positive terminal connected to a 5K resistor. - Feedback resistor: 10K connected from the output to the inverting terminal. - **Task:** Determine \( V_o \). --- **Circuit 2:** - **Configuration:** - Inverting operational amplifier with a triangular waveform. - Input: 1V peak, 1 kHz triangular waveform. - Resistor: 10K from the input to the inverting terminal. - **Note:** Sketch \( V_{in} \) above \( V_o \) over time. --- **Circuit 3:** - **Configuration:** - Cascade of inverting amplifiers. - First Stage: - Input: 2V DC. - Resistor: 10K from the input to the inverting terminal. - Feedback: 10K resistor. - Second Stage: - Gain determined by the feedback network. - Additional 2V DC offset applied at the non-inverting terminal. - **Task:** Determine \( V_o \). --- **Circuit 4:** - **Configuration:** - Inverting operational amplifier. - Input: 3V DC. - Single resistor of 10K from the input to the inverting terminal. - **Task:** Determine \( V_o \). --- **Circuit 5:** - **Configuration:** - Inverting operational amplifier with sinusoidal input. - Input: 2.5V peak-to-peak sine wave at 1 kHz. - Feedback resistor network: 10K and 2K resistors, with an additional 1K resistor to ground. - **Task:** Determine \( V_o \). --- **Conclusion:** Each circuit provides a unique scenario for analyzing the behavior of operational amplifiers with different input signals. Understanding the configuration and calculating the gain is essential in predicting the output voltage \( V_o \). ---
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