$A$ group of lamps having a total power rating of $1000 \,W$ is supplied by an $AC$ voltage of $E = 200 \sin(310t + 60^{\circ})$. The $r.m.s.$ value of the current flowing through the circuit is:

  • A
    $10 \,A$
  • B
    $5 \sqrt{2} \,A$
  • C
    $20 \,A$
  • D
    $10 \sqrt{2} \,A$

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