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A $230\: V$ rms source supplies power to two loads connected in parallel. The first load draws $10 \: kW$ at $0.8$ leading power factor and the second one draws $10\: kVA$ at $0.8$ lagging power factor. The complex power delivered by the source is

  1. $(18 + j\:1.5)\:kVA$
  2. $(18 –  j\:1.5)\:kVA$
  3. ‘$(20 + j\:1.5)\:kVA$
  4. $(20  –  j\:1.5)\:kVA$
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