2) The circuit shown below uses a diode in the feedback path of the op amp. For each question, use only the ideal switch model to analyze the circuit's behavior (i.e. ignore the diode's 0.7V forward drop). Assume that R = 1k2, and the op amp is ideal. VOUTO a) Suppose vIN = 2V. What direction is the current i passing through R? Is the diode ON or OFF? What is vour?. b) Suppose VIN = -2V. What direction is the current i passing through R? Is the diode ON or OFF? What is vouT? c) Explain why vouT can never be less than 0V.

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### 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.
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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