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Applications of negative feedback to a certain amplifier reduced its gain from 200 to 100. If the gain with the same feedback is to be raised to 150, in the case of another such appliance, the gain of the amplifier without feedback must have been
  • a)
    400
  • b)
    450
  • c)
    500
  • d)
    600
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Applications of negative feedback to a certain amplifier reduced its g...
Concept:
A negative feedback network is shown below.
Where A is the gain of the amplifier without feedback and feedback gain = β
Calculation:
Case 1:
Gain without feedback, A = 200
Gain with feedback ACL = 100
Case 2:
Gain with feedback, ACL = 150
Feedback, 
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Community Answer
Applications of negative feedback to a certain amplifier reduced its g...
Understanding Negative Feedback in Amplifiers
Negative feedback is a technique used in amplifiers to stabilize gain and improve bandwidth. When feedback is applied, it modifies the overall gain of the amplifier.
Initial Gain Reduction
- The original gain (A) of the amplifier was 200.
- After applying negative feedback, the gain was reduced to 100.
- Using the feedback formula:
Gain with feedback (A_f) = A / (1 + βA)
where β is the feedback factor.
Calculating the Feedback Factor
- For the first amplifier:
100 = 200 / (1 + β * 200)
- Rearranging gives:
1 + β * 200 = 2
- Thus, β * 200 = 1
- Therefore, β = 1/200.
Target Gain with Feedback
- For the second amplifier, we want the gain with feedback to be 150.
- Using the same feedback factor (β = 1/200):
150 = A / (1 + βA).
Finding the Required Gain Without Feedback
- Substitute β into the equation:
150 = A / (1 + (1/200) * A).
- Rearranging gives:
150 + (150/200) * A = A.
- This simplifies to:
150 = A * (1 - 0.75).
- Therefore, A = 150 / 0.25 = 600.
Conclusion
- The required gain of the amplifier without feedback to achieve a gain of 150 with the same feedback is 600.
- Correct answer: Option 'D'.
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Applications of negative feedback to a certain amplifier reduced its gain from 200 to 100. If the gain with the same feedback is to be raised to 150, in the case of another such appliance, the gain of the amplifier without feedback must have beena)400b)450c)500d)600Correct answer is option 'D'. Can you explain this answer?
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