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  • A virtual current of 4A 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<div c

A virtual current of 4A 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

Option: 1

\mathrm{\frac{1}{3 \pi} H}


Option: 2

\mathrm{\frac{1}{5 \pi} \mathrm{H}}


Option: 3

\mathrm{\frac{1}{7 \pi} \mathrm{H}}


Option: 4

\mathrm{\frac{1}{9 \pi} \mathrm{H}}


Answers (1)

best_answer

\mathrm{\begin{aligned} & R=\frac{P}{i_{m s}^2}=\frac{240}{16}=15 \Omega \\ & Z=\frac{V}{i}=\frac{100}{4}=25 \Omega \\ & \text { Now } X_L=\sqrt{Z^2-R^2}=\sqrt{(25)^2-(15)^2}=20 \Omega \\ & \therefore 2 \pi v L=20 \Rightarrow L=\frac{20}{2 \pi \times 50}=\frac{1}{5 \pi} H z \end{aligned}}

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manish painkra

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