A virtual current of 4 A and 50 Hz flows in an AC circuit containing a coil. The power consumed in the coil is 240 W. If the virtual voltage across the coil is 100 V its inductance will be

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13πH

15πH

17πH

19πH

answer is B.

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Detailed Solution

IV cos φ=P⇒4×100×R25=240⇒15Ω Now R2+XL2=Z2⇒XL=252-152 =20Ω Therefore L=202×π×50 H=15πH

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