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At what frequency would a 10H inductor have a reactance of 2000Ω?

Physics
JAMB 1999

At what frequency would a 10H inductor have a reactance of 2000Ω?
  • A. π/200Hz
  • B. π/100Hz
  • C. 100/πHz
  • D. 100πHz
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Correct Answer: Option C
Explanation
Inductive reactance XL = 2πfL
∴ 2πfL = 2000Ω
then f = 2000Ω/2 x π x 10
f = 100/πHz

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