Engineering Board Exam Reviewer · RC Circuits · medium

In the series RC circuit shown, a 75 V (rms) source with =500 rad/s is connected to R=15, and C=100, F. Find the voltage across the capacitor.

  1. 60 V
  2. 42.9 V
  3. 30 V
  4. 75 V

Answer

A. 60 V

Solution

XC=1/ C= 1(500)(100, F)=20, . |Z|=sqrt(R2+XC2)=sqrt((15, )2+(20, )2)=25, . I=V/|Z|= 75 V25, =3 A. VC=IXC=(3 A)(20, )=60 V.

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