ind input impedance and the voltage gain

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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find input impedance and the voltage gain

The image illustrates an inverting operational amplifier (op-amp) circuit. The key components and details of the circuit are:

1. **Op-Amp Symbol**: The triangle represents the operational amplifier. It has an inverting input marked with a minus (-) sign and a non-inverting input marked with a plus (+) sign.

2. **Input Voltage (\(V_{IN}\))**: Applied to the inverting input through the resistor \(R_{IN}\).

3. **Feedback Resistor (\(R_F\))**: Connected between the output and the inverting input of the op-amp. In the diagram, \(R_F = 120 \text{k}\Omega\).

4. **Input Resistor (\(R_{IN}\))**: Connected to the inverting input. In the diagram, \(R_{IN} = 2 \text{k}\Omega\).

5. **Output Voltage (\(V_{OUT}\))**: Taken from the op-amp's output terminal.

6. **Ground Reference**: The non-inverting input is connected to ground (0V), which is a common reference point in the circuit.

This configuration is known as an inverting amplifier, where the output voltage (\(V_{OUT}\)) is the amplified and inverted version of the input voltage (\(V_{IN}\)). The gain of the amplifier is determined by the ratio of \(R_F\) to \(R_{IN}\). In this case, the gain is \( \frac{R_F}{R_{IN}} = \frac{120 \text{k}\Omega}{2 \text{k}\Omega} = 60\). This means the output voltage is 60 times the input voltage but inverted in phase.
Transcribed Image Text:The image illustrates an inverting operational amplifier (op-amp) circuit. The key components and details of the circuit are: 1. **Op-Amp Symbol**: The triangle represents the operational amplifier. It has an inverting input marked with a minus (-) sign and a non-inverting input marked with a plus (+) sign. 2. **Input Voltage (\(V_{IN}\))**: Applied to the inverting input through the resistor \(R_{IN}\). 3. **Feedback Resistor (\(R_F\))**: Connected between the output and the inverting input of the op-amp. In the diagram, \(R_F = 120 \text{k}\Omega\). 4. **Input Resistor (\(R_{IN}\))**: Connected to the inverting input. In the diagram, \(R_{IN} = 2 \text{k}\Omega\). 5. **Output Voltage (\(V_{OUT}\))**: Taken from the op-amp's output terminal. 6. **Ground Reference**: The non-inverting input is connected to ground (0V), which is a common reference point in the circuit. This configuration is known as an inverting amplifier, where the output voltage (\(V_{OUT}\)) is the amplified and inverted version of the input voltage (\(V_{IN}\)). The gain of the amplifier is determined by the ratio of \(R_F\) to \(R_{IN}\). In this case, the gain is \( \frac{R_F}{R_{IN}} = \frac{120 \text{k}\Omega}{2 \text{k}\Omega} = 60\). This means the output voltage is 60 times the input voltage but inverted in phase.
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