Find the output voltage, Vo, in the circuits below

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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### Educational Website Transcription and Explanation

#### Instructions:
Find the output voltage \( V_o \), in the circuits below.

---

#### Circuit 1:
- **Components:**
  - Input voltage source: 10V peak, 1 kHz, sine wave
  - Resistor: 5kΩ
  - Operational Amplifier with feedback
  - Output voltage: \( V_o \)

In this circuit, a sinusoidal input signal of 10V peak at 1 kHz is fed through a 5kΩ resistor into the operational amplifier. The feedback loop is shown with a 100kΩ resistor connecting the output back to the inverting input. This configuration suggests an inverting amplifier setup.

---

#### Circuit 2:
- **Components:**
  - Input voltage source: ±1V peak-to-peak, triangle wave at 1 kHz
  - Operational Amplifier
  - Output voltage: \( V_o \)

The input here is a triangle wave with a peak-to-peak voltage of 1V. The operational amplifier is configured to give an output \( V_o \). The task is to sketch \( V_{in} \) (input voltage) above \( V_o \) over time to analyze the phase and amplitude relationship between input and output.

---

#### Circuit 3:
- **Components:**
  - Input voltage source: 1V DC
  - Dual operational amplifier setup
  - Resistors: 5kΩ, 10kΩ
  - Additional voltage source: 2V DC

The third circuit features a more complex setup with two operational amplifiers. The first part has an input of 1V DC going through a 10kΩ resistor to the inverting input of the first op-amp, with a feedback resistor of 10kΩ.

The second stage is a non-inverting amplifier, with a 5kΩ resistor at the input and additional 2V DC affecting the circuit. The feedback and configurations suggest potential gain settings and offsets created by the resistors and voltage sources, which will influence \( V_o \).

--- 

This page provides a practical application of operational amplifiers in different configurations, illustrating scenarios of signal processing with sinusoidal, triangle, and DC inputs.
Transcribed Image Text:### Educational Website Transcription and Explanation #### Instructions: Find the output voltage \( V_o \), in the circuits below. --- #### Circuit 1: - **Components:** - Input voltage source: 10V peak, 1 kHz, sine wave - Resistor: 5kΩ - Operational Amplifier with feedback - Output voltage: \( V_o \) In this circuit, a sinusoidal input signal of 10V peak at 1 kHz is fed through a 5kΩ resistor into the operational amplifier. The feedback loop is shown with a 100kΩ resistor connecting the output back to the inverting input. This configuration suggests an inverting amplifier setup. --- #### Circuit 2: - **Components:** - Input voltage source: ±1V peak-to-peak, triangle wave at 1 kHz - Operational Amplifier - Output voltage: \( V_o \) The input here is a triangle wave with a peak-to-peak voltage of 1V. The operational amplifier is configured to give an output \( V_o \). The task is to sketch \( V_{in} \) (input voltage) above \( V_o \) over time to analyze the phase and amplitude relationship between input and output. --- #### Circuit 3: - **Components:** - Input voltage source: 1V DC - Dual operational amplifier setup - Resistors: 5kΩ, 10kΩ - Additional voltage source: 2V DC The third circuit features a more complex setup with two operational amplifiers. The first part has an input of 1V DC going through a 10kΩ resistor to the inverting input of the first op-amp, with a feedback resistor of 10kΩ. The second stage is a non-inverting amplifier, with a 5kΩ resistor at the input and additional 2V DC affecting the circuit. The feedback and configurations suggest potential gain settings and offsets created by the resistors and voltage sources, which will influence \( V_o \). --- This page provides a practical application of operational amplifiers in different configurations, illustrating scenarios of signal processing with sinusoidal, triangle, and DC inputs.
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