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Question Bank (5 marks) · Q7

Q.Explain how bandwidth of an amplifier is affected by negative feedback.

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[!TLDR]

Negative feedback widens the bandwidth by (1+Aβ)(1+A\beta): f1′=f1/(1+Aβ)f_1' = f_1/(1+A\beta), f2′=f2(1+Aβ)f_2' = f_2(1+A\beta), BWf=BW(1+Aβ)BW_f = BW(1+A\beta), with the gain-bandwidth product unchanged.

The frequency response of an amplifier (Fig. 4.4.4) is flat over a mid-band and falls off at low and high frequencies. The band is bounded by the two 3 dB frequencies — the lower cut-off f1f_1 and the upper cut-off f2f_2 — and the bandwidth without feedback is

BW=f2−f1.BW = f_2 - f_1.

Effect of negative feedback on the cut-off frequencies. Negative feedback reduces the gain most where it is largest (mid-band) and least where it is already small (near the cut-offs). This flattens and widens the response:

  • the lower cut-off decreases: f1′=f11+Aβf_1' = \dfrac{f_1}{1 + A\beta};
  • the upper cut-off increases: f2′=f2(1+Aβ)f_2' = f_2(1 + A\beta).

New bandwidth. The bandwidth with feedback is therefore

BWf=f2′−f1′=BW(1+Aβ),BW_f = f_2' - f_1' = BW(1 + A\beta),

which is larger than BWBW by the factor (1+Aβ)(1 + A\beta). On the response graph the 'after feedback' curve is lower but stretches wider on both sides, with the axis marked f1′,f1,f2,f2′f_1', f_1, f_2, f_2'. …

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