A series \( \mathrm{R}-\mathrm{C} \) combination is connected to an \( \mathrm{AC} \) voltage of....

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A series \( \mathrm{R}-\mathrm{C} \) combination is connected to an \( \mathrm{AC} \) voltage of angular frequency \( \omega=500 \mathrm{radian} / \mathrm{s} \). If the
\( \mathrm{P} \)
impedance of the \( \mathrm{R}-\mathrm{C} \) circuit is \( R \sqrt{1.25} \), the time
W
constant (in millisecond) of the circuit is


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