calculate the inductance of an inductor whose reactance is one ohm at 50 Hz.
A
2.00 x 10-2H
B
6.36 x 10-2H
C
3.18 x 10-3H
D
4.55 x 10-2H
Verified Correct Answer: C.
Physical Principles & Numerical Solution
The inductive reactance (X\(_L\)) of an inductor is given by the formula:
Given: X\(_L\) = 1\(\Omega\), f = 50Hz
X\(_L\) = 2\pifL
L = \(\frac{1}{2\pif}\) = \(\frac{1}{2\pi \times50}\) = \(\frac{1}{100\pi}\) = 3.183 x 10\(^{-3}\)H
Source: Myschool Past Questions Archive (Record #33844)