Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Transcribed Image Text:### Circuit Analysis with Diode in Feedback Path
**Problem Statement:**
The circuit shown uses a diode in the feedback path of an operational amplifier (op amp). For analysis, use the ideal switch model to understand the circuit’s behavior, ignoring the diode’s 0.7V forward drop. Assume:
- **Resistor (R):** 1kΩ
- The op amp is ideal.
**Circuit Diagram Explanation:**
The circuit features:
- An op amp with an inverting input connected to the input voltage \( V_{\text{IN}} \).
- A feedback loop with a diode (D) and a resistor (R) connected in series.
- The non-inverting input is grounded.
**Questions:**
a) **Given \( V_{\text{IN}} = 2V \):**
- Determine the current direction \( i \) through R.
- Is the diode ON or OFF?
- What is the output voltage \( V_{\text{OUT}} \)?
b) **Given \( V_{\text{IN}} = -2V \):**
- Determine the current direction \( i \) through R.
- Is the diode ON or OFF?
- What is the output voltage \( V_{\text{OUT}} \)?
c) **Explain why \( V_{\text{OUT}} \) can never be less than 0V.**
**Guidelines for Solution:**
- Use the behavior of the ideal diode: Conducts when forward-biased (ON), blocks when reverse-biased (OFF).
- The ideal op amp ensures the voltage at both inputs is equal in steady state.
**Graphical Explanation:**
The schematic shows:
- **Diode (D):** Controls feedback current, turning ON or OFF based on \( V_{\text{IN}} \).
- **Resistor (R):** 1kΩ defines current \( i \) when the diode is conducting.
- **Op Amp Configuration:** Inverting setup with diode feedback controlling \( V_{\text{OUT}} \).
**Theoretical Understanding:**
- For positive \( V_{\text{IN}} \): Diode likely conducts, impacting \( V_{\text{OUT}} \).
- For negative \( V_{\text{IN}} \): Diode likely blocks, suggesting \( V_{\text{OUT}} \) is 0V.
- Positive feedback behavior ensures \( V_{\text{OUT}} \) remains non-negative.
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