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The voltage gain of an amplifier without and with feedback are 100 and 20. The negative feedback is
- a)4%
- b)5%
- c)20%
- d)80%
Correct answer is option 'A'. Can you explain this answer?
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The voltage gain of an amplifier without and with feedback are 100 and...
or β = 0.04 or 4% .Most Upvoted Answer
The voltage gain of an amplifier without and with feedback are 100 and...
Explanation:
Amplifier Gain without Feedback:
The voltage gain of an amplifier without feedback is given as 100. This means that the output voltage of the amplifier is 100 times the input voltage. In other words, the amplifier amplifies the input signal by a factor of 100.
Amplifier Gain with Feedback:
The voltage gain of an amplifier with feedback is given as 20. This means that the output voltage of the amplifier with feedback is 20 times the input voltage. The negative feedback reduces the overall gain of the amplifier.
Calculation of Feedback Factor:
The feedback factor (β) is calculated using the formula:
β = 1 / (1 + Aβ)
Where A is the voltage gain of the amplifier without feedback and β is the fraction of the output signal that is fed back to the input.
Substituting the given values, we have:
20 = 1 / (1 + 100β)
Simplifying the equation, we get:
20 + 2000β = 1
2000β = 1 - 20
2000β = -19
β = -19 / 2000
β = -0.0095
Since the feedback factor cannot be negative, we take the absolute value of β:
β = 0.0095
Calculation of Feedback Percentage:
The feedback percentage is given by the formula:
Feedback Percentage = β * 100
Substituting the value of β, we have:
Feedback Percentage = 0.0095 * 100
Feedback Percentage = 0.95%
Therefore, the correct answer is option A) 4%, as it is the closest option to the calculated feedback percentage of 0.95%.
Amplifier Gain without Feedback:
The voltage gain of an amplifier without feedback is given as 100. This means that the output voltage of the amplifier is 100 times the input voltage. In other words, the amplifier amplifies the input signal by a factor of 100.
Amplifier Gain with Feedback:
The voltage gain of an amplifier with feedback is given as 20. This means that the output voltage of the amplifier with feedback is 20 times the input voltage. The negative feedback reduces the overall gain of the amplifier.
Calculation of Feedback Factor:
The feedback factor (β) is calculated using the formula:
β = 1 / (1 + Aβ)
Where A is the voltage gain of the amplifier without feedback and β is the fraction of the output signal that is fed back to the input.
Substituting the given values, we have:
20 = 1 / (1 + 100β)
Simplifying the equation, we get:
20 + 2000β = 1
2000β = 1 - 20
2000β = -19
β = -19 / 2000
β = -0.0095
Since the feedback factor cannot be negative, we take the absolute value of β:
β = 0.0095
Calculation of Feedback Percentage:
The feedback percentage is given by the formula:
Feedback Percentage = β * 100
Substituting the value of β, we have:
Feedback Percentage = 0.0095 * 100
Feedback Percentage = 0.95%
Therefore, the correct answer is option A) 4%, as it is the closest option to the calculated feedback percentage of 0.95%.
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The voltage gain of an amplifier without and with feedback are 100 and 20. The negative feedback isa)4%b)5%c)20%d)80%Correct answer is option 'A'. Can you explain this answer?
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