What is the inductance (L) of an inductor whose reactance is 1? at 50/ ? hertz (H)?

Assessment: JAMB UTME - Physics - 2015 Subject: Physics

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What is the inductance (L) of an inductor whose reactance is 1? at 50/ ? hertz (H)?
Answer Details
To calculate the inductance (L) of an inductor, we need to use the formula: XL = 2πfL Where XL is the reactance of the inductor, f is the frequency in hertz, and L is the inductance in henrys. In this question, we are given that the reactance of the inductor is 1 at 50 Hz. We can substitute these values into the formula and solve for L: 1 = 2π x 50 x L L = 1 / (2π x 50) L ≈ 0.00318 henrys (rounded to five decimal places) Therefore, the correct answer is: 0.01H, which is the same as 0.00318 henrys when rounded to two decimal places.
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