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A crystal has \( Q = 20000 \) at \( 10 \ \mathrm{MHz} \). Its bandwidth is about

  • A.50 Hz
  • B.200 Hz
  • C.500 Hz
  • D.5 kHz

Answer: C

Bandwidth is the resonant frequency divided by the quality factor:

\[ B = \frac{10 \times 10^{6}}{20000} = 500 \ \mathrm{Hz} \]

giving 500 Hz, or fifty parts per million of the centre frequency. That such a narrow window exists at all is what makes the crystal a frequency standard, and it explains why the oscillator's frequency cannot be pulled far even deliberately.

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