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In the series RC circuit shown, a 85 V (rms) source with =2000 rad/s is connected to R=75, and C=12.5, F. Find the voltage across the resistor.

  1. 55.4 V
  2. 45 V
  3. 85 V
  4. 75 V

Answer

D. 75 V

Solution

XC=1/ C= 1(2000)(12.5, F)=40, . |Z|=sqrt(R2+XC2)=sqrt((75, )2+(40, )2)=85, . I=V/|Z|= 85 V85, =1 A. VR=IR=(1 A)(75, )=75 V.

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