-5 V+ +15 V Vout Ideal op amp 3 ka -15 V 1 k2 Vn Vin 5 V -5 V 10 V Vour
-5 V+ +15 V Vout Ideal op amp 3 ka -15 V 1 k2 Vn Vin 5 V -5 V 10 V Vour
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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For the op-amp circuit shown, fill the values of the output voltage for the given input voltage values.
![### Operational Amplifier Inverting Voltage Amplifier
This educational content focuses on the configuration and behavior of an ideal operational amplifier (op-amp) in an inverting amplifier setup.
#### Circuit Diagram:
A typical inverting amplifier circuit includes the following components:
1. **Operational Amplifier (Op-Amp)**:
- An ideal op-amp with a power supply connected to +15 V and -15 V.
- The op-amp has two inputs: the inverting input (-) and the non-inverting input (+).
2. **Resistors**:
- A resistor with a value of 3 kΩ is connected between the inverting input (−) and ground.
- Another resistor with a value of 1 kΩ is connected between the inverting input (−) and input voltage \( V_{in} \).
3. **Voltage Sources**:
- \( V_{in} \) is connected to the inverting input through the 1 kΩ resistor.
- The non-inverting input (+) is connected to ground.
4. **Power Supply**:
- The op-amp is powered by a dual supply voltage of +15 V and -15 V.
- A reference voltage of -5 V is applied to the circuit, represented by a battery symbol.
5. **Output Voltage (\( V_{out} \))**:
- \( V_{out} \) is the output voltage from the op-amp.
#### Voltage Relationship:
- The relationship between the input voltage (\( V_{in} \)) and output voltage (\( V_{out} \)) for an inverting amplifier is given by:
\[ V_{out} = -\left(\frac{R_f}{R_{in}}\right) V_{in} \]
Where:
- \( R_f \) is the feedback resistor (3 kΩ in this case).
- \( R_{in} \) is the input resistor (1 kΩ in this case).
#### Example Calculation:
Given the resistor values:
\[ \frac{R_f}{R_{in}} = \frac{3 k\Omega}{1 k\Omega} = 3 \]
Therefore:
\[ V_{out} = -3 V_{in} \]
#### Table of Input and Output Voltages:
| \( V_{in} \) | 5 V | -5 V | 10 V |
|:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff920003c-b80d-4d46-9199-437e1336b936%2F116e4d13-2b9f-48aa-902e-96af4eac2c75%2Fckyhp8w_processed.png&w=3840&q=75)
Transcribed Image Text:### Operational Amplifier Inverting Voltage Amplifier
This educational content focuses on the configuration and behavior of an ideal operational amplifier (op-amp) in an inverting amplifier setup.
#### Circuit Diagram:
A typical inverting amplifier circuit includes the following components:
1. **Operational Amplifier (Op-Amp)**:
- An ideal op-amp with a power supply connected to +15 V and -15 V.
- The op-amp has two inputs: the inverting input (-) and the non-inverting input (+).
2. **Resistors**:
- A resistor with a value of 3 kΩ is connected between the inverting input (−) and ground.
- Another resistor with a value of 1 kΩ is connected between the inverting input (−) and input voltage \( V_{in} \).
3. **Voltage Sources**:
- \( V_{in} \) is connected to the inverting input through the 1 kΩ resistor.
- The non-inverting input (+) is connected to ground.
4. **Power Supply**:
- The op-amp is powered by a dual supply voltage of +15 V and -15 V.
- A reference voltage of -5 V is applied to the circuit, represented by a battery symbol.
5. **Output Voltage (\( V_{out} \))**:
- \( V_{out} \) is the output voltage from the op-amp.
#### Voltage Relationship:
- The relationship between the input voltage (\( V_{in} \)) and output voltage (\( V_{out} \)) for an inverting amplifier is given by:
\[ V_{out} = -\left(\frac{R_f}{R_{in}}\right) V_{in} \]
Where:
- \( R_f \) is the feedback resistor (3 kΩ in this case).
- \( R_{in} \) is the input resistor (1 kΩ in this case).
#### Example Calculation:
Given the resistor values:
\[ \frac{R_f}{R_{in}} = \frac{3 k\Omega}{1 k\Omega} = 3 \]
Therefore:
\[ V_{out} = -3 V_{in} \]
#### Table of Input and Output Voltages:
| \( V_{in} \) | 5 V | -5 V | 10 V |
|:
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