determine voltaeg gain

Introductory Circuit Analysis (13th Edition)
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determine voltaeg gain

### Inverting Amplifier Circuit Diagram

This image illustrates an inverting operational amplifier (op-amp) circuit. Here’s a detailed explanation:

#### Components:
- **Operational Amplifier (Op-Amp)**: The main component of the circuit, configured in an inverting setup.
- **Resistors**:
  - \( R_F = 47 \, \text{k}\Omega \): This is the feedback resistor connected between the output and the inverting input of the op-amp.
  - \( R_1 = 1 \, \text{k}\Omega \): This resistor is connected between the inverting input of the op-amp and the input voltage (\( V_{\text{IN}} \)).
- **Input Voltage (\( V_{\text{IN}} \))**: Applied to the inverting input, driving the circuit.
- **Output Voltage (\( V_{\text{OUT}} \))**: Taken from the output of the op-amp.

#### Circuit Explanation:
- **Inverting Input (-)**: The input is connected to this terminal through \( R_1 \).
- **Non-Inverting Input (+)**: This terminal is typically grounded (0V) in an inverting op-amp configuration.
- The circuit inverts and amplifies the input voltage. The gain is determined by the ratio of the resistors: 
  \[
  \text{Gain} = -\frac{R_F}{R_1} = -\frac{47\, \text{k}\Omega}{1\, \text{k}\Omega} = -47
  \]

This means that the output voltage is 47 times larger in magnitude than the input voltage and inverted in phase.
Transcribed Image Text:### Inverting Amplifier Circuit Diagram This image illustrates an inverting operational amplifier (op-amp) circuit. Here’s a detailed explanation: #### Components: - **Operational Amplifier (Op-Amp)**: The main component of the circuit, configured in an inverting setup. - **Resistors**: - \( R_F = 47 \, \text{k}\Omega \): This is the feedback resistor connected between the output and the inverting input of the op-amp. - \( R_1 = 1 \, \text{k}\Omega \): This resistor is connected between the inverting input of the op-amp and the input voltage (\( V_{\text{IN}} \)). - **Input Voltage (\( V_{\text{IN}} \))**: Applied to the inverting input, driving the circuit. - **Output Voltage (\( V_{\text{OUT}} \))**: Taken from the output of the op-amp. #### Circuit Explanation: - **Inverting Input (-)**: The input is connected to this terminal through \( R_1 \). - **Non-Inverting Input (+)**: This terminal is typically grounded (0V) in an inverting op-amp configuration. - The circuit inverts and amplifies the input voltage. The gain is determined by the ratio of the resistors: \[ \text{Gain} = -\frac{R_F}{R_1} = -\frac{47\, \text{k}\Omega}{1\, \text{k}\Omega} = -47 \] This means that the output voltage is 47 times larger in magnitude than the input voltage and inverted in phase.
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Given circuit is consist of an operational amplifier 

the voltage gain of the given operational amplifier is given by 

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