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A coupling capacitor of \( 1 \ \mathrm{\mu F} \) works into \( 15 \ \mathrm{k\Omega} \). Its break frequency is about

  • A.1.06 Hz
  • B.66 Hz
  • C.10.6 Hz
  • D.106 Hz

Answer: C

Setting reactance equal to resistance:

\[ \begin{aligned} f &= \frac{1}{2\pi R C} \\ &= \frac{1}{2\pi (15000)(10^{-6})} \\ &\approx 10.6 \ \mathrm{Hz} \end{aligned} \]

giving about 10.6 Hz, comfortably below the audio band. The other options misplace a decade or invert part of the product. Because the frequency is inversely proportional to both resistance and capacitance, a low-impedance point in the circuit always demands a much larger capacitor for the same break.

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