A 400-Ω resistor and an inductor are connected in parallel across a 300-Hz source.If the amplitude of the current in the resistor is equal to that in the inductor,what is the value of the inductance? A)0.212 H B)0.666 H C)1.33 × 10^-6 H D)0.333 H

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Quizplus · Accepted Answer

The amplitude of the current in the resistor is equal to that in the inductor, which means the resistive reactance (R) equals the inductive reactance (XL). XL = 2πfL, where f is the frequency and L is the inductance. Given R = 400 Ω and f = 300 Hz, we solve for L: L = R / (2πf) = 400 / (2π*300) ≈ 0.212 H.

A 400-Ω Resistor and an Inductor Are Connected in Parallel