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In the parallel RC circuit shown, a 96 V (rms) source with =10000 rad/s feeds R=6, and C=12.5, F in parallel. Find the magnitude of the total impedance seen by the source.

  1. 3.43,
  2. 7,
  3. 4.8,
  4. 10,

Answer

C. 4.8,

Solution

XC=1/ C= 1(10000)(12.5, F)=8, . IR=V/R= 96 V6, =16 A, IC=V/XC= 96 V8, =12 A. IT=sqrt(IR2+IC2)= (16 A)2+(12 A)2=20 A. |ZT|=V/IT= 96 V20 A=4.8, .

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