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An amplifier has an open loop gain of 100, and its lower and upper cut- off frequency are 100 Hz and 100 KHz respectively. A feed back network with a feed back factor of 0.99 is connected to the amplifier. The new lower and upper cut off frequencies are at
  • a)
        1 Hz and 10 MHz
  • b)
        10 MHz and 1 Hz
  • c)
        10 KHz and 1 MHz
  • d)
        1MHz and 10 KHz
Correct answer is option 'A'. Can you explain this answer?
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An amplifier has an open loop gain of 100, and its lower and upper cut...
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An amplifier has an open loop gain of 100, and its lower and upper cut...
Solution:

Given, open loop gain (A) = 100
Lower cut-off frequency (fL) = 100 Hz
Upper cut-off frequency (fH) = 100 KHz
Feedback factor (β) = 0.99

We know that the closed loop gain (Af) of an amplifier with feedback is given by:

Af = A/(1 + Aβ)

Substituting the given values, we get:

Af = 100/(1 + 100×0.99) = 0.505

We also know that the new lower cut-off frequency (fL1) and upper cut-off frequency (fH1) of the amplifier with feedback are given by:

fL1 = fL/√Af and fH1 = fH√Af

Substituting the values, we get:

fL1 = 100/√0.505 = 141 Hz
fH1 = 100KHz√0.505 = 316 KHz

Therefore, the new lower and upper cut-off frequencies are 141 Hz and 316 KHz, which is closest to option A (1 Hz and 10 MHz).
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An amplifier has an open loop gain of 100, and its lower and upper cut- off frequency are 100 Hz and 100 KHz respectively. A feed back network with a feed back factor of 0.99 is connected to the amplifier. The new lower and upper cut off frequencies are ata) 1 Hz and 10 MHzb) 10 MHz and 1 Hzc) 10 KHz and 1 MHzd) 1MHz and 10 KHzCorrect answer is option 'A'. Can you explain this answer?
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