Engineering Board Exam Reviewer · RLC Circuits and Resonance · medium

In the parallel RLC circuit shown, a 60 V (rms) source with =2000 rad/s is connected across R=10, , L=7.5 mH, and C=100, F in parallel. Find the total current drawn from the source.

  1. 22 A
  2. 14 A
  3. 17.1 A
  4. 10 A

Answer

D. 10 A

Solution

XL= L=15, and XC=1/ C=5, . IR=V/R=6 A, IL=V/XL=4 A, IC=V/XC=12 A. IL and IC are 180° apart, so the reactive current is |IC-IL|=8 A. IT=sqrt(IR2+(IC-IL)2)= (6 A)2+(8 A)2=10 A.

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