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An amplifier has an open loop gain of 100 and its lower and upper hand frequency of 100 Hz and 100 KHz, respectively. A feedback network with a feedback factor of 0.99 is connected to the amplifier, the new lower and upper cut off frequencies are at

  • A.\(f_{H} = 10\) MHz and \(f_{L} = 1\) Hz
  • B.\(f_{H} = 25\) MHz and \(f_{L} = 10\) Hz
  • C.\(f_{H} = 100\) MHz and \(f_{L} = 100\) Hz
  • D.\(f_{H} = 10\) MHz and \(f_{L} = 10\) Hz

Answer: A

With negative feedback the bandwidth is extended by the factor \(1 + A\beta\), where \(A = 100\) and \(\beta = 0.99\):

\[ 1 + A\beta = 1 + 100 \times 0.99 = 100 \]

The upper cut-off frequency rises and the lower one falls by that factor:

\[ f_{H}' = 100\ \mathrm{kHz} \times 100 = 10\ \mathrm{MHz} \]\[ f_{L}' = \frac{100\ \mathrm{Hz}}{100} = 1\ \mathrm{Hz} \]

This is option (A). Options B, C and D use factors other than 100, so their cut-off frequencies do not follow from the feedback relations.

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