The voltage phasor of a circuit is 10 ∠15° V and the current phasor is 2∠–45° A. The active and reactive...

The voltage phasor of a circuit is 10 ∠15° V and the current phasor is 2∠–45° A. The active and reactive powers in the circuit are 

 (a) 20 2 W and 10 2 VAR (b) 10 W and 10 3 VAR (c) 5 W and 5 3 VAR (d) 10 3 W and – 10 VAR 
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Please give me answer

2 Answers

Answer :

Phasor sum10w and 10 3 VAR.The voltage is lagging

by

Answer :

  • Angle between voltage and current ¢=15-(-45)=60°
  • Cos60°=1/2 
  • Active power =vicos¢=10×2×1/2=10watt
  • Reactive power=visin¢=10×2×sin60°=20×√3/2=10√3
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