Engineering Board Exam Reviewer · RLC Circuits and Resonance · medium

In the series RLC circuit shown, a 15 V (rms) source with =10000 rad/s is connected to R=12, , L=3.1 mH, and C=2.5, F. Find the magnitude of the total impedance.

  1. 83,
  2. 72,
  3. 52,
  4. 15,

Answer

D. 15,

Solution

XL= L=(10000)(3.1 mH)=31, and XC=1/ C= 1(10000)(2.5, F)=40, . The net reactance is X=XL-XC=-9, (capacitive). |Z|=sqrt(R2+(XL-XC)2)=sqrt((12, )2+(9, )2)=15, .

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