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A series R-C combination is connected to...

A series R-C combination is connected to an AC voltage of angular frequency `omega=500 radian//s`. If the impendance of the R-C circuit is `Rsqrt(1.25)`, the time constant (in millisecond) of the circuit is

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The correct Answer is:
D
Time constant=RC
Impedance `=sqrt(R^(2)+((1)/(omega C))^(2))` ltbr. Given impedance `=Rsqrt(1.25)`
`:, Rsqrt(1.25)=sqrt(R^(2)+((1)/(omega C))^(2))`
`:. RC=2/(omega)=2/500xx1000ms`
`:. RC=4ms`.
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