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calculate the inductance of an inductor whose reactance is one ohm at 50 Hz.

Physics
WAEC 2000

calculate the inductance of an inductor whose reactance is one ohm at 50 Hz.

  • A. 2.00 x 10-2H
  • B. 6.36 x 10-2H
  • C. 3.18 x 10-3H
  • D. 4.55 x 10-2H
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Correct Answer: Option C
Explanation

The inductive reactance (X\(_L\)​) of an inductor is given by the formula:

Given: X\(_L\)  = 1\(\Omega\), f = 50Hz

X\(_L\)  = 2πfL

L = \(\frac{1}{2πf}\) =   \(\frac{1}{2π \times50}\) =  \(\frac{1}{100\pi}\) = 3.183 x 10\(^{-3}\)H


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