A capacitor of capacitance 25μF is connected to an a.c power source of frequency \(\frac{200}{π}\) Hz. Calculate the reactance of the capacitor.
A
100.00 Ω
B
0.02 Ω
C
0.01 Ω
D
50.00 Ω
Verified Correct Answer: A.
Physical Principles & Numerical Solution
X\(_C\) = \(\frac{1}{(2\pifC)}\) = \(\frac{1}{(2\pi \times (\frac{200}{\pi}) \times 25 \times 10^{-6})}\)
= \(\frac{1}{(2 \times 200 \times 25 \times 10^{-6})}\) = \(\frac{1}{10^{-2}}\) = 10\(^2\) = 100 \Omega
\(\therefore\) X\(_C\) = 100 \Omega
Source: WAEC / JAMB / NECO Classroom Archive (Record #76400)