Introductory Circuit Analysis (13th Edition)
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ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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close loop gains
![**Understanding Noninverting Operational Amplifier Configurations**
An operational amplifier connected in a noninverting configuration has an open-loop gain (AOL) of 105. The resistors are specified as R2 = 495 kΩ and R1 = 5 kΩ. The task is to determine both the actual and ideal gain of the amplifier.
**Concepts to Explore:**
1. **Operational Amplifier (Op-Amp):**
- An electronic device used to amplify voltage.
- Configurations include inverting and noninverting.
2. **Noninverting Amplifier Configuration:**
- Provides a positive voltage gain.
- The input signal is applied to the non-inverting (+) terminal.
3. **Open-Loop Gain (AOL):**
- The gain of the amplifier without any feedback.
- In this scenario, AOL = 105.
4. **Closed-Loop Gain:**
- Gain when feedback is applied.
- In a noninverting amplifier:
\[
\text{Gain} = 1 + \frac{R2}{R1}
\]
- Calculations:
\[
\text{Ideal Gain} = 1 + \frac{495\, k\Omega}{5\, k\Omega} = 1 + 99 = 100
\]
- Assuming high open-loop gain, actual gain approximates the ideal gain.
**Practical Application:**
- When implementing this circuit, the actual gain can vary slightly due to the finite open-loop gain and real-world component tolerances.
- Useful in applications requiring precise voltage amplification without phase inversion.
Understanding this configuration aids in designing amplifiers for audio equipment, signal processing, and other electronic applications.](https://content.bartleby.com/qna-images/question/2bf0a2b4-4cef-40fd-b09b-f8efed4785e6/d9447402-4eab-474d-a722-3898046ea33c/zrczhve_processed.png)
Transcribed Image Text:**Understanding Noninverting Operational Amplifier Configurations**
An operational amplifier connected in a noninverting configuration has an open-loop gain (AOL) of 105. The resistors are specified as R2 = 495 kΩ and R1 = 5 kΩ. The task is to determine both the actual and ideal gain of the amplifier.
**Concepts to Explore:**
1. **Operational Amplifier (Op-Amp):**
- An electronic device used to amplify voltage.
- Configurations include inverting and noninverting.
2. **Noninverting Amplifier Configuration:**
- Provides a positive voltage gain.
- The input signal is applied to the non-inverting (+) terminal.
3. **Open-Loop Gain (AOL):**
- The gain of the amplifier without any feedback.
- In this scenario, AOL = 105.
4. **Closed-Loop Gain:**
- Gain when feedback is applied.
- In a noninverting amplifier:
\[
\text{Gain} = 1 + \frac{R2}{R1}
\]
- Calculations:
\[
\text{Ideal Gain} = 1 + \frac{495\, k\Omega}{5\, k\Omega} = 1 + 99 = 100
\]
- Assuming high open-loop gain, actual gain approximates the ideal gain.
**Practical Application:**
- When implementing this circuit, the actual gain can vary slightly due to the finite open-loop gain and real-world component tolerances.
- Useful in applications requiring precise voltage amplification without phase inversion.
Understanding this configuration aids in designing amplifiers for audio equipment, signal processing, and other electronic applications.
Expert Solution
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Step 1
The infinite close loop gain for the non-inverting op-amp is given as:
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