By what percentage the impedance in an \( \mathrm{AC} \) series circuit should be increased so t....

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By what percentage the impedance in an \( \mathrm{AC} \) series circuit should be increased so that the power factor changes from \( (1 / 2) \) to \( (1 / 4) \) (when \( \mathrm{R} \) is constant)?
\( \mathrm{P} \)
(1) \( 200 \% \)
(2) \( 100 \% \)
(3) \( 50 \% \)
(4) \( 400 \% \)


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