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For that break to fall at \( 20 \ \mathrm{Hz} \) instead, the capacitor may be reduced to about

  • A.2 microfarads
  • B.0.05 microfarads
  • C.1 microfarad
  • D.0.53 microfarads

Answer: D

The capacitance needed scales inversely with the frequency wanted:

\[ C = \frac{1}{2\pi (20)(15000)} \approx 0.53 \ \mathrm{\mu F} \]

so about 0.53 microfarads. Two microfarads would push the break lower rather than higher, which is the direction error to watch for: a larger capacitor extends the response downwards. Reading off which way a component change moves a break frequency is worth doing before any arithmetic.

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