The impedance of a circuit,when a resistance $R$ and an inductor of inductance $L$ are connected in series in an $AC$ circuit of frequency $f$ is

  • A
    $\sqrt {R^2 + 2{\pi ^2}{f^2}{L^2}} $
  • B
    $\sqrt {R^2 + 4{\pi ^2}{f^2}{L^2}} $
  • C
    $\sqrt {R + 4{\pi ^2}{f^2}{L^2}} $
  • D
    $\sqrt {R + 2{\pi ^2}{f^2}{L^2}} $

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