Engineering Board Exam Reviewer · RLC Circuits and Resonance · medium

A series RLC circuit is shown, with R=8, , L=16 mH, and C=2.5, F connected to a variable-frequency source of 24 V rms. Find the quality factor Q of the circuit at resonance.

  1. 6.4
  2. 10
  3. 62.8
  4. 20

Answer

B. 10

Solution

0= 1sqrt(LC)= 1 (16 mH)(2.5, F)=5000 rad/s, so f0= 0/2π=796 Hz. At resonance XL= 0L=80, . Q=XL/R=80, /8, =10.

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