An inductor supplied with 100 V AC with a frequency of 10 kHz passes a current of 10 mA. The value of the inductor is

An inductor supplied with 100 V AC with a frequency of 10 kHz passes a current of 10 mA. The value of the inductor is
1). 1.7 H
2). 16 mH
3). 1 mH
4). 160 mH

Given that, voltage (V) = 100 V

Frequency (f) = 10 kHz

Current (I) = 10 mA

$({X_L} = \frac{V}{I} = \frac{{100}}{{10 \times {{10}^{ - 3}}}} = {10^4}{\\rm{\;\Omega }})$

$(\Rightarrow 2\pi fL = {10^4})$

$(\Rightarrow L = \frac{{{{10}^4}}}{{2\pi \times 10 \times {{10}^3}}} = 159.15\;mH \approx 160\;mH)$

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