For the noninverting amplifier shown in Figure 11, R₁ = 5k2 and R₂ = 20k2. Calculate the gain of this amplifier. R₁ R₂ Figure 11
Power Amplifier
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![**Noninverting Amplifier Gain Calculation**
**Problem Statement:**
For the noninverting amplifier shown in Figure 11, \( R_1 = 5k\Omega \) and \( R_2 = 20k\Omega \). Calculate the gain of this amplifier.
**Circuit Diagram Explanation:**
Figure 11 demonstrates a noninverting amplifier configuration. The schematic includes the following components:
- A voltage source connected to the noninverting input of the operational amplifier (op-amp).
- Two resistors labeled \( R_1 \) and \( R_2 \).
- \( R_1 \) is connected between the inverting input of the op-amp and ground.
- \( R_2 \) is connected in a feedback loop from the output of the op-amp to its inverting input.
- A ground connection is present at the bottom of the input voltage source and at the bottom of \( R_1 \).
- The op-amp has its noninverting input marked with a "+" and its inverting input marked with a "-".
- The output of the op-amp is depicted as the node extending from the right side of the op-amp.
**Figure 11: Noninverting Amplifier Diagram**
**Gain Calculation:**
The voltage gain (\( A_v \)) of a noninverting amplifier is given by the formula:
\[ A_v = 1 + \frac{R_2}{R_1} \]
Substituting the given values (\( R_1 = 5k\Omega \) and \( R_2 = 20k\Omega \)):
\[ A_v = 1 + \frac{20k\Omega}{5k\Omega} \]
\[ A_v = 1 + 4 \]
\[ A_v = 5 \]
**Conclusion:**
The gain of the noninverting amplifier is 5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fd71444-c22f-486e-ba4e-9500881f0dc0%2F814bcd3b-e7f1-44b0-8e8d-d6e0ffc50423%2Fyhihjss_processed.jpeg&w=3840&q=75)
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