Discussion
Two identical stages each of \( 1 \ \mathrm{MHz} \) bandwidth are cascaded. The overall bandwidth is about
Answer: B
For n identical single-pole stages the combined 3 dB point shrinks by a known factor:
\[ B_{n} = B \sqrt{2^{1/n}-1} = 10^{6}(0.64) \]
giving about 640 kHz. Half a megahertz would be the answer if bandwidths simply halved, which they do not. The shrinkage is modest for two stages and becomes severe for five or six, which is why a long cascade of narrow stages is a poor way to obtain both gain and bandwidth.
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