Moderate

A series resonant band-stop filter consists of a 68 Ω resistor, a 110 mH coil, and a 0.02 µF capacitor. The internal resistance, RW, of the coil is 4 Ω. Input voltage is 200 mV. Output voltage is taken across the coil and capacitor in series. What is the output voltage magnitude at f0?

Correct answer: B. 11.1 mV

  • A. 1.1 mV
  • B. 11.1 mV
  • C. 111 mV
  • D. 200 mV

Explanation

At series resonance, the ideal reactances cancel, leaving the coil winding resistance of 4 Ω in the output branch. Thus Vout = 0.2 × 4/(68 + 4) ≈ 11.1 mV.

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