The average power delivered to an AC series circuit is given by:

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SSC JE Electrical 06 Jun 2024 Shift 2 Official Paper - 1
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  1. I(max)x V(max)
  2. Vrms × Irms cos θ
  3. I(max) × V(max) × Sin(θ)
  4. Zero

Answer (Detailed Solution Below)

Option 2 : Vrms × Irms cos θ
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Power in an AC circuit

The power in an AC circuit is the combination of average and reactive power.

The phasor sum of average and reactive power gives apparent power.

S = P + jQ

where, S = Apparent power

P = Average power

Q = Reactive power

Power Triangle

F1 U.B Madhu 23.03.20 D10

The apparent power is given by:

S = Vrms × Irms

The average or active power is given by:

P = S cos ϕ

P = Vrms × Irms cos θ

The reactive power is given by:

Q = S sin ϕ

Q = Vrms × Irms sin θ

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