If a current I given by IO sin[ωt – (π/2)] flows in an ac circuit across which an ac potential of E = EO sinωt has been applied then the power consumption p in the circuit will be

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Asked: 2023-11-07T12:30:22+05:30 In: Science
If a current I given by IO sin[ωt – (π/2)] flows in an ac circuit across which an ac potential of E = EO sinωt has been applied then the power consumption p in the circuit will be

Hi, I have a question and I hope anyone could answer it:

If a current I given by IO sin[ωt – (π/2)] flows in an ac circuit across which an ac potential of E = EO sinωt has been applied then the power consumption p in the circuit will be, 

(a) P = [{E0I0}/(√2)] 

(b) P = √2 E0I0 

(c) P = [{E0I0}/(2)] 

 (d) P = 0

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    2. Correct option is D) P= 0

      I=I0​(sinωt−π/2​)

      E=E0​sinωt

      Here E and I are in out of phase [θ=π/2​]
      ∴ Power factor cosθ=cos90=0
      ∴ Power consumption become zero.
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