A resistive sensor is interfaced as shown below. Find output voltage Vout in terms of resistances and bias voltage Vbias. Assume that the opamp is ideal and Rs = 500(1 + d) Q. Sensor R₂ 5000 I₁ + 5000 5000 Vout ㅗ

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**Description:**

This educational resource explains how to determine the output voltage \( V_{\text{out}} \) of a circuit interfacing a resistive sensor through an operational amplifier (op-amp) setup. The key components and parameters involved in the circuit are outlined below:

**Circuit Components and Parameters:**

1. **Resistive Sensor (\( R_S \))**: 
   - Connected to the inverting terminal of the op-amp.
   - The resistance is given by the formula \( R_S = 500(1 + d) \, \Omega \), where \( d \) represents a deviation factor.

2. **Bias Voltage (\( V_{\text{bias}} \))**: 
   - A DC voltage source applied at the non-inverting terminal.

3. **Operational Amplifier (Op-Amp)**: 
   - Assumed to be ideal in the analysis, meaning it has infinite input impedance, zero output impedance, and infinite gain.

4. **Resistors**: 
   - Three 500 \(\Omega\) resistors are used to create voltage dividers and feedback with the op-amp.

5. **Currents (\( I_1 \) and \( I_2 \))**: 
   - Represent the direction and flow of current through different branches of the circuit.

**Analysis Objective:**

- **Find Output Voltage (\( V_{\text{out}} \))**: 
  - Expressed in terms of the given resistances and the bias voltage.

**Diagram Description:**

- **Circuit Layout**:
  - A resistive sensor \( R_S \) is directly connected to the inverting input of the op-amp.
  - Two resistors (each 500 \(\Omega\)) are connected in series from the non-inverting input, and a voltage \( V_{\text{bias}} \) is applied.
  - The feedback loop from the output to the inverting input consists of a 500 \(\Omega\) resistor.
  
- **Current Directions**:
  - \( I_1 \) flows from the sensor through \( R_S \) to the inverting input.
  - \( I_2 \) flows through the voltage division network, influencing \( V_{\text{out}} \).

**Purpose:**

This configuration is essential for sensor interfacing applications, where accurate measurement and amplification of sensor signals are required. Understanding this circuit will help in
Transcribed Image Text:**Description:** This educational resource explains how to determine the output voltage \( V_{\text{out}} \) of a circuit interfacing a resistive sensor through an operational amplifier (op-amp) setup. The key components and parameters involved in the circuit are outlined below: **Circuit Components and Parameters:** 1. **Resistive Sensor (\( R_S \))**: - Connected to the inverting terminal of the op-amp. - The resistance is given by the formula \( R_S = 500(1 + d) \, \Omega \), where \( d \) represents a deviation factor. 2. **Bias Voltage (\( V_{\text{bias}} \))**: - A DC voltage source applied at the non-inverting terminal. 3. **Operational Amplifier (Op-Amp)**: - Assumed to be ideal in the analysis, meaning it has infinite input impedance, zero output impedance, and infinite gain. 4. **Resistors**: - Three 500 \(\Omega\) resistors are used to create voltage dividers and feedback with the op-amp. 5. **Currents (\( I_1 \) and \( I_2 \))**: - Represent the direction and flow of current through different branches of the circuit. **Analysis Objective:** - **Find Output Voltage (\( V_{\text{out}} \))**: - Expressed in terms of the given resistances and the bias voltage. **Diagram Description:** - **Circuit Layout**: - A resistive sensor \( R_S \) is directly connected to the inverting input of the op-amp. - Two resistors (each 500 \(\Omega\)) are connected in series from the non-inverting input, and a voltage \( V_{\text{bias}} \) is applied. - The feedback loop from the output to the inverting input consists of a 500 \(\Omega\) resistor. - **Current Directions**: - \( I_1 \) flows from the sensor through \( R_S \) to the inverting input. - \( I_2 \) flows through the voltage division network, influencing \( V_{\text{out}} \). **Purpose:** This configuration is essential for sensor interfacing applications, where accurate measurement and amplification of sensor signals are required. Understanding this circuit will help in
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