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An amplifier has an open-loop gain of 1000 and a feedback ratio of 0.04. If the open-loop gain changes by 10% due to temperature, the percentage change in gain of the amplifier with feedback will be
  • a)
    0.75%
  • b)
    0.50%
  • c)
    0.25%
  • d)
    0.45%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An amplifier has an open-loop gain of 1000 and a feedback ratio of 0.0...
Given,
The percentage changeing a in of the amplifier with feed back is
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Most Upvoted Answer
An amplifier has an open-loop gain of 1000 and a feedback ratio of 0.0...
Given:
Open-loop gain (A) = 1000
Feedback ratio (β) = 0.04
Change in open-loop gain (ΔA) = 10%

To find:
Percentage change in gain of the amplifier with feedback

Solution:

1. Calculate the closed-loop gain (Acl) using the formula:

Acl = A / (1 + Aβ)

Substituting the values, we get:

Acl = 1000 / (1 + (1000 x 0.04))
Acl = 1000 / 41
Acl = 24.39

2. Calculate the new open-loop gain (Anew) after the change in temperature:

Anew = A + ΔA = 1000 + 10% of 1000
Anew = 1000 + 100
Anew = 1100

3. Calculate the new closed-loop gain (Acl_new) using the same formula as step 1:

Acl_new = Anew / (1 + Anewβ)
Acl_new = 1100 / (1 + (1100 x 0.04))
Acl_new = 1100 / 45
Acl_new = 24.44

4. Calculate the percentage change in gain of the amplifier with feedback:

ΔAcl = (Acl_new - Acl) / Acl x 100%
ΔAcl = (24.44 - 24.39) / 24.39 x 100%
ΔAcl = 0.205%
ΔAcl ≈ 0.25%

Therefore, the percentage change in gain of the amplifier with feedback is approximately 0.25%. The correct answer is option C.
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An amplifier has an open-loop gain of 1000 and a feedback ratio of 0.04. If the open-loop gain changes by 10% due to temperature, the percentage change in gain of the amplifier with feedback will bea)0.75%b)0.50%c)0.25%d)0.45%Correct answer is option 'C'. Can you explain this answer?
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