Electronics and Communication Engineering - Analog Electronics - Discussion

Discussion Forum : Analog Electronics - Section 1 (Q.No. 10)
10.
If an amplifier with gain of - 1000 and feedback factor β = - 0.1 had a gain change of 20% due to temperature, the change in gain of the feedback amplifier would be
10%
5%
0.2%
0.01%
Answer: Option
Explanation:

As we know, Gain with feedback

A = - 1000, β = -0.1 .

Discussion:
25 comments Page 1 of 3.

Vipin said:   7 months ago
Given:

Gain of amplifier (A) = -1000.
Feedback factor (β) = -0.1.
Gain change due to temperature (ΔA/A) = 20% = 0.2.

We know that the gain of the feedback amplifier (Af) is:
Af = A/(1 + βA).

To find the change in gain of the feedback amplifier (ΔAf/Af), we can use the formula:
ΔAf/Af = ΔA/A / (1 + βA).

Substituting the values:
ΔAf/Af = 0.2/(1 + (-0.1) × (-1000)).
ΔAf/Af = 0.2 /(1 + 100).
ΔAf/Af = 0.2 /101.
ΔAf/Af ≈ 0.00198.

To express this as a percentage:

ΔAf/Af ≈ 0.198%.

So, the change in gain of the feedback amplifier would be approximately 0.198%.
(2)

Arnab Bhattacharya said:   10 years ago
This is basically a problem relating the stability of gain of feedback amplifiers.

Given, A = -1000, B (beta) = -0.1; 1+AB = 101.

Now, given, change in amplifier gain = 20%.

We have, (dAf/Af) = (1/(1+AB))*(dA/A).

Here, dA/A = 20% = 0.2; have to find dAf/Af.

Therefore, dAf/Af = (1/101)*0.2 = 0.00198 = 0.198% = 0.2%.

Option (C) is correct. Here it is noticeable how feedback improves the stability in amplifiers. When the deviation of gain in amplifier is 20%, the distortion in the overall (feedback) amplifier circuit is only 0.2%.

Thank you.
(1)

Pavi said:   9 years ago
@Arnab Bhattacharya,

Thanks for the clear explanation.

Goki said:   9 years ago
@Arnab.

Thanks for the clear explanation.

Kiran said:   9 years ago
Great explanation @Arnab Bhattacharya.

Mageshwari said:   7 years ago
Thank you for explaining the answer.

Lakshmishree said:   7 years ago
Great explanation. Thank you @Arnab.

Arnab ka Pankha said:   3 years ago
Thank You for explaining this..

Reshma said:   8 years ago
Now it's clear, thanks @Arnab.

BADRINATH said:   10 years ago
Can it get explained clearly?


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