Engineering Board Exam Reviewer · RLC Circuits and Resonance · hard

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=0.883 kHz and f2=1.133 kHz, and the peak occurs at f0=1 kHz. If the inductance is L=25 mH, find the resistance R of the circuit.

  1. 157,
  2. 6.25,
  3. 39.3,
  4. 78.5,

Answer

C. 39.3,

Solution

BW=f2-f1=250 Hz. For a series RLC circuit BW=R/2π L, so R=2π L· BW=2π(0.025)(250)=39.3, .

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