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In the parallel RC circuit shown, a 480 V (rms) source with =10000 rad/s feeds R=48, and C=5, F in parallel. By how many degrees does the total current lead the source voltage?

  1. 22.6°
  2. 45°
  3. 90°
  4. 67.4°

Answer

D. 67.4°

Solution

XC=1/ C= 1(10000)(5, F)=20, . IR=V/R= 480 V48, =10 A, IC=V/XC= 480 V20, =24 A. = -1!≤ft(IC/IR )= -1!≤ft( 24 A10 A )=67.4°.

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