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A stage gives a gain of \( 100 \) with a bandwidth of \( 200 \ \mathrm{kHz} \). At a gain of \( 10 \) its bandwidth is about

  • A.2 MHz
  • B.200 kHz
  • C.20 kHz
  • D.20 MHz

Answer: A

Holding the product constant:

\[ \begin{aligned} GB &= 100 \times 200\mathrm{k} = 20 \ \mathrm{MHz} \\ B &= \tfrac{20\mathrm{M}}{10} = 2 \ \mathrm{MHz} \end{aligned} \]

giving about 2 MHz. Twenty megahertz is the product itself rather than the new bandwidth. Reducing the gain by ten buys ten times the bandwidth, which is the trade every feedback amplifier makes and the reason a high open-loop gain is worth having.

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