Question

A 44mH inductor is connected to a 220V, 50Hz AC supply. Then, the inductive reactance of the inductor is :

• A. $3.82\Omega$
• B. $10.8Hz$
• C. $13.82\Omega$
• D. $21.5Hz$

Answer 1

Answer: (C)

$13.82\Omega$

Inductive reactance $X_L$ is given by
$X_L=\omega L=2\pi fL$
Given, f=50Hz, L=44mH
$=44\times {10}^{-3}H$
$X_L=2\pi \times 44\times {10}^{-3}\times 50=13.82\Omega$