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
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
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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
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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