JAMB - Physics (2002 - No. 44)

At what frequency would a capacitor of 2.5μF used in the radio circuit have a reactance of 250Ω
\(\frac{π}{800}\) Hz
\(\frac{800}{\pi}\) Hz
200π Hz
2000π Hz

Explanation

X\(_c\) = \(\frac{1}{2\pi f c}\)

f = \(\frac{1}{ 2 \pi f C}\) = \(\frac{1}{\pi \times 2 \times 250 \times 2.5 \times 10^{-6}}\)

f = \(\frac{1\times 10^6}{ 1250 \pi}\)

 f = \(\frac{800}{π}\)

 

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