Engineering Board Exam Reviewer · RC Circuits · medium

In the parallel RC circuit shown, a 120 V (rms) source with =10000 rad/s feeds R=12, and C=20, F in parallel. Find the total current drawn from the source.

  1. 34 A
  2. 26 A
  3. 14 A
  4. 9.23 A

Answer

B. 26 A

Solution

XC=1/ C= 1(10000)(20, F)=5, . IR=V/R= 120 V12, =10 A, IC=V/XC= 120 V5, =24 A. IT=sqrt(IR2+IC2)= (10 A)2+(24 A)2=26 A. (Branch currents are 90° apart, so they add as phasors, not arithmetically.)

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