Engineering Board Exam Reviewer · RLC Circuits and Resonance · medium

The curve shows the normalized current of a series RLC circuit versus frequency. The dashed lines mark the half-power (0.707) points, at f1=9.395 kHz and f2=10.645 kHz, and the peak occurs at f0=10 kHz. Find the quality factor of the circuit.

  1. 0.499
  2. 8
  3. 4
  4. 16

Answer

B. 8

Solution

BW=f2-f1=10.645 kHz-9.395 kHz=1.25 kHz. Q=f0/BW= 10 kHz1.25 kHz=8.

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