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A load is supplied by a $230$ V, $50$ Hz source. The active power $P$ and the reactive power $Q$ consumed by the load are such that $1kW \leq P \leq 2kW$ and $1kVAR \leq Q \leq 2kVAR$. A capacitor connected across the load for power factor correction generates $1kVAR$ reactive power. The worst case power factor after power factor correction is 

  1. $0.447 \text{ lag}$
  2. $0.707 \text{ lag}$
  3. $0.894 \text{ lag}$
  4. $1$
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