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Problem 1- Design an inverting amplifier with a gain of -24. Please draw the resulting circuit and block diagram.

Problem 1- Design an inverting amplifier with a gain of -24. Please draw the resulting circuit and block diagram.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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### Problem 1 **Description:** Design an inverting amplifier with a gain of -24. **Instructions:** Please draw the resulting circuit and block diagram. **Explanation:** An inverting amplifier is a type of operational amplifier (op-amp) circuit configuration which outputs a signal that is 180 degrees out of phase with the input signal. The gain of the inverting amplifier is determined by the ratio of the resistors used in the circuit. For an inverting amplifier, the gain \( A \) is given by the formula: \[ A = -\frac{R_f}{R_{in}} \] where: - \( R_f \) is the feedback resistor between the output and the inverting input. - \( R_{in} \) is the input resistor between the input signal and the inverting input. To achieve a gain of -24, you need to select resistor values such that the ratio \( \frac{R_f}{R_{in}} \) equals 24. An example circuit diagram for an inverting amplifier with a gain of -24 might look like this: **Circuit Diagram:** 1. **Operational Amplifier (Op-Amp):** Represented by a standard op-amp symbol. 2. **Input Resistor \( R_{in} \):** Connects the input signal to the inverting input of the op-amp. 3. **Feedback Resistor \( R_f \):** Connects the output of the op-amp back to the inverting input. 4. **Non-Inverting Input:** Connected to the ground (common reference point). 5. **Output Signal:** Taken from the output pin of the op-amp. For instance, if you choose \( R_{in} = 1k\Omega \), you should choose \( R_f = 24k\Omega \) to achieve the required gain of -24. **Block Diagram:** 1. **Input Signal:** Represented by an arrow pointing towards the input of the op-amp circuit. 2. **Amplifier Block:** Contains the symbol of an op-amp along with the input and feedback resistors. 3. **Output Signal:** Represents the amplified and inverted signal coming out of the op-amp circuit.
Transcribed Image Text:### Problem 1 **Description:** Design an inverting amplifier with a gain of -24. **Instructions:** Please draw the resulting circuit and block diagram. **Explanation:** An inverting amplifier is a type of operational amplifier (op-amp) circuit configuration which outputs a signal that is 180 degrees out of phase with the input signal. The gain of the inverting amplifier is determined by the ratio of the resistors used in the circuit. For an inverting amplifier, the gain \( A \) is given by the formula: \[ A = -\frac{R_f}{R_{in}} \] where: - \( R_f \) is the feedback resistor between the output and the inverting input. - \( R_{in} \) is the input resistor between the input signal and the inverting input. To achieve a gain of -24, you need to select resistor values such that the ratio \( \frac{R_f}{R_{in}} \) equals 24. An example circuit diagram for an inverting amplifier with a gain of -24 might look like this: **Circuit Diagram:** 1. **Operational Amplifier (Op-Amp):** Represented by a standard op-amp symbol. 2. **Input Resistor \( R_{in} \):** Connects the input signal to the inverting input of the op-amp. 3. **Feedback Resistor \( R_f \):** Connects the output of the op-amp back to the inverting input. 4. **Non-Inverting Input:** Connected to the ground (common reference point). 5. **Output Signal:** Taken from the output pin of the op-amp. For instance, if you choose \( R_{in} = 1k\Omega \), you should choose \( R_f = 24k\Omega \) to achieve the required gain of -24. **Block Diagram:** 1. **Input Signal:** Represented by an arrow pointing towards the input of the op-amp circuit. 2. **Amplifier Block:** Contains the symbol of an op-amp along with the input and feedback resistors. 3. **Output Signal:** Represents the amplified and inverted signal coming out of the op-amp circuit.
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