$A$ series $LCR$ circuit is connected to an $AC$ source of $220\,V, 50\,Hz$. The circuit contains a resistance $R = 80\,\Omega$,an inductor of inductive reactance $X_L = 70\,\Omega$,and a capacitor of capacitive reactance $X_C = 130\,\Omega$. The power factor of the circuit is $\frac{x}{10}$. The value of $x$ is:

  • A
    $4$
  • B
    $8$
  • C
    $6$
  • D
    $2$

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On which of the following does the power consumed in an $L-C-R$ series $AC$ circuit depend?

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