Engineering Board Exam Reviewer · RC Circuits · medium

In the series RC circuit shown, a 255 V (rms) source with =2000 rad/s is connected to R=150, and C=6.25, F. Find the real power dissipated by the circuit.

  1. 382 W
  2. 180 W
  3. 338 W
  4. 434 W

Answer

C. 338 W

Solution

XC=1/ C= 1(2000)(6.25, F)=80, . |Z|=sqrt(R2+XC2)=sqrt((150, )2+(80, )2)=170, . I=V/|Z|= 255 V170, =1.5 A. Only the resistor dissipates real power: P=I2R=(1.5 A)2(150, )=338 W.

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