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An LC tank of quality factor \( 150 \), resonant at \( 5 \ \mathrm{MHz} \), passes a band of roughly

  • A.330 kHz
  • B.33 kHz
  • C.3.3 kHz
  • D.750 kHz

Answer: B

Bandwidth is the resonant frequency over the quality factor:

\[ B = \frac{5 \times 10^{6}}{150} \approx 33 \ \mathrm{kHz} \]

giving about 33 kHz, against 250 Hz for a crystal of the same frequency with a quality factor of twenty thousand. Setting the two side by side is the quickest way to feel why crystal control displaced LC control wherever accuracy mattered.

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