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At what frequency 1 Henry inductance offers the same impedance as `1 mu F` capacitor?

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At what frequency 1 Henry inductance offers the same impedance as `1 mu F` capacitor?
A. `500/(2 pi) Hz`
B. `500/(pi) Hz`
C. `500pi Hz`
D. `1000pi Hz`
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1 Answer

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Correct Answer - B
`omega L = 1/(omega C) :. Omega^(2) = 1/(LC)`
`:. F = 1/(2pisqrt(LC)) = 1/(2pisqrt(1xx10^(-6)))`
`= (1000)/(2pi) = 500/(pi) Hz`.
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