A parallel resonant band-pass filter consists of a 90 Ω resistor in series with a parallel network made up of a 60 mH coil and a 0.02 µF capacitor. The output is taken across the capacitor/coil. The coil winding has a resistance of 20 Ω. What is the center frequency of the filter?
Correct answer: B. 4,591 Hz
- A. 459 Hz
- B. 4,591 Hz
- C. 999 Hz
- D. 2,176 Hz
Explanation
The parallel LC resonance is approximately f = 1/(2π√LC) = 1/[2π√(0.06 × 0.02 µF)] ≈ 4.59 kHz. The coil resistance causes only a very small correction, so option b remains the center frequency.
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