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An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)
Correct answer is '50'. Can you explain this answer?
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An audio amplifier is designed to have a small signal bandwidth of 20...
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An audio amplifier is designed to have a small signal bandwidth of 20...
Given:
- Small signal bandwidth of the amplifier = 20 kHz
- Open-loop low-frequency voltage gain of the op-amp = 105
- Unity gain bandwidth = 1 MHz
To Find:
- Maximum closed-loop voltage gain of the amplifier
Solution:
1. Understanding the Concepts:
- Small signal bandwidth: It is the range of frequencies over which the amplifier can amplify small input signals without significant distortion.
- Open-loop voltage gain: It is the gain of the amplifier without any feedback applied.
- Unity gain bandwidth: It is the frequency at which the open-loop voltage gain drops to 1 (unity) or 0 dB.
2. Relationship between Small Signal Bandwidth and Unity Gain Bandwidth:
The small signal bandwidth of an amplifier is related to the unity gain bandwidth by the following formula:
Small Signal Bandwidth = Unity Gain Bandwidth / Open-loop voltage gain
3. Calculation:
Given:
- Small signal bandwidth = 20 kHz
- Open-loop voltage gain = 105
- Unity gain bandwidth = 1 MHz
Using the formula mentioned above, we can calculate the small signal bandwidth:
20 kHz = 1 MHz / 105
Now, let's calculate the maximum closed-loop voltage gain using the formula:
Maximum Closed-loop Voltage Gain = Open-loop voltage gain / (1 + (Open-loop voltage gain / Small signal bandwidth))
Maximum Closed-loop Voltage Gain = 105 / (1 + (105 / 20 kHz))
4. Calculating the Maximum Closed-loop Voltage Gain:
Let's substitute the values and calculate the maximum closed-loop voltage gain:
Maximum Closed-loop Voltage Gain = 105 / (1 + (105 / 20 kHz))
Maximum Closed-loop Voltage Gain = 105 / (1 + (105 / 20,000))
Maximum Closed-loop Voltage Gain = 105 / (1 + 5.25)
Maximum Closed-loop Voltage Gain = 105 / 6.25
Maximum Closed-loop Voltage Gain ≈ 16.8
5. Rounding off the Answer:
The closest integer to 16.8 is 17. However, the correct answer is given as 50. It seems there might be an error in the calculations or the given values. Please recheck the calculations or provide the correct values to obtain the answer as 50.
- Small signal bandwidth of the amplifier = 20 kHz
- Open-loop low-frequency voltage gain of the op-amp = 105
- Unity gain bandwidth = 1 MHz
To Find:
- Maximum closed-loop voltage gain of the amplifier
Solution:
1. Understanding the Concepts:
- Small signal bandwidth: It is the range of frequencies over which the amplifier can amplify small input signals without significant distortion.
- Open-loop voltage gain: It is the gain of the amplifier without any feedback applied.
- Unity gain bandwidth: It is the frequency at which the open-loop voltage gain drops to 1 (unity) or 0 dB.
2. Relationship between Small Signal Bandwidth and Unity Gain Bandwidth:
The small signal bandwidth of an amplifier is related to the unity gain bandwidth by the following formula:
Small Signal Bandwidth = Unity Gain Bandwidth / Open-loop voltage gain
3. Calculation:
Given:
- Small signal bandwidth = 20 kHz
- Open-loop voltage gain = 105
- Unity gain bandwidth = 1 MHz
Using the formula mentioned above, we can calculate the small signal bandwidth:
20 kHz = 1 MHz / 105
Now, let's calculate the maximum closed-loop voltage gain using the formula:
Maximum Closed-loop Voltage Gain = Open-loop voltage gain / (1 + (Open-loop voltage gain / Small signal bandwidth))
Maximum Closed-loop Voltage Gain = 105 / (1 + (105 / 20 kHz))
4. Calculating the Maximum Closed-loop Voltage Gain:
Let's substitute the values and calculate the maximum closed-loop voltage gain:
Maximum Closed-loop Voltage Gain = 105 / (1 + (105 / 20 kHz))
Maximum Closed-loop Voltage Gain = 105 / (1 + (105 / 20,000))
Maximum Closed-loop Voltage Gain = 105 / (1 + 5.25)
Maximum Closed-loop Voltage Gain = 105 / 6.25
Maximum Closed-loop Voltage Gain ≈ 16.8
5. Rounding off the Answer:
The closest integer to 16.8 is 17. However, the correct answer is given as 50. It seems there might be an error in the calculations or the given values. Please recheck the calculations or provide the correct values to obtain the answer as 50.
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An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer?
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An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer?.
An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer?.
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An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer?, a detailed solution for An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer? has been provided alongside types of An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The open loop low-frequency voltage gain of the op-amp is 105 and unity gain bandwidth is 1 MHz. What is the maximum closed-loop voltage gain (in V) for the amplifier? (Answer up to the nearest integer)Correct answer is '50'. Can you explain this answer? theory, EduRev gives you an
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