An inductor stores 16 J of magnetic energy and dissipates 32 W of thermal power (in its resistance) when an r.m.s. current of 2 A at 50 Hz flows through it. The ratio of its inductive reactance to its resistance is (π=3.14).

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Accepted Answer

314. Power: Iᵣₘₛ² R=32⇒ R=(32)/(2²)=8 Ω. Energy: 1/2 L Iᵣₘₛ²=16⇒ L=(2×16)/(2²)=8 H. X_L=2π f L=2π(50)(8)=800π Ω; (X_L)/R=(800π)/8=100π=314.

An inductor stores 16 J of magnetic energy and dissipates 32 W of thermal power (in its resistance) when an r.m.s. current of 2 A at 50 Hz flows through it. The ratio of its inductive reactance to its resistance is ______ (π=3.14).

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