Moderate

A 100µF capacitor with a 12V source in series having frequency 50Hz will offer a capacitive reactance of about______________?

Correct answer: A. 32Ω

  • A. 32Ω
  • B. 62Ω
  • C. 50Ω
  • D. 100Ω

Explanation

Capacitive reactance is Xc = 1/(2πfC) = 1/(2 x 3.14 x 50 Hz x 100 x 10^-6 F) ≈ 31.8 Ω, which is about 32 Ω. The likely wrong choice is b, often caused by using an incorrect frequency or forgetting the microfarad conversion.

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Capacitors store electric charge and energy in an electric field between conductors. Work includes capacitance, the relation Q = CV, dielectric materials, charging and discharging, energy formulas, and combinations of capacitors in series and parallel. Electric potential difference is needed to understand why charge and stored energy change.

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