Discussion
An inductive coil having an inductance of 50 mH is operating at 1000 Hz. Determine the inductive reactance of the coil.
Answer: D
The inductive reactance of a coil is 2 pi f L, where f is the frequency in hertz and L is the inductance in henry.
\[ X_{L} = 2\pi f L = 2\pi \times 1000 \times 0.05 \]
\[ X_{L} = 314.15\ \Omega \]
The reactance is therefore 314.15 ohms, option (D). The inductance of 50 mH is 0.05 H, and the value 3.14 ohms comes from using 0.0005 H, while 50 and 101 ohms do not follow from the formula.
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