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.
X\(_C\) = \(\frac{1}{(2πfC)}\) = \(\frac{1}{(2π \times (\frac{200}{π}) \times 25 \times 10^{-6})}\)
= \(\frac{1}{(2 \times 200 \times 25 \times 10^{-6})}\) = \(\frac{1}{10^{-2}}\) = 10\(^2\) = 100 Ω
\(\therefore\) X\(_C\) = 100 Ω
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