Charleswantoe Charleswantoe

30-06-2021
Physics

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At what frequency would an inductor of inductance 0.8H have a reactance of 12000^?

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Trancescient Trancescient

30-06-2021

Explanation:

The inductive reactance [tex]X_L[/tex] is given by

[tex]X_L = \omega L = 2 \pi fL[/tex]

Solving for f, we get

[tex]f = \dfrac{X_L}{2 \pi L} = \dfrac{12000\:\text{ ohms}}{2\pi (0.8\:H)}[/tex]

[tex]\:\:\:\:\:\:\:= 2387.3\:\text{Hz}[/tex]

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