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At what frequency would a capacitor of 2.5μF used in the radio circuit have a...

Physics
JAMB 2002

At what frequency would a capacitor of 2.5μF used in the radio circuit have a reactance of 250Ω

  • A. \(\frac{π}{800}\) Hz
  • B. \(\frac{800}{\pi}\) Hz
  • C. 200π Hz
  • D. 2000π Hz
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Correct Answer: Option B
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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