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In the AC circuit diagram above, the resonance frequency is

Physics
JAMB 1998

In the AC circuit diagram above, the resonance frequency is

  • A. 5000π Hz
  • B. 2500π Hz
  • C. 5000/π Hz
  • D. 2500/π Hz
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Correct Answer: Option D
Explanation

resonance frequency \(f_r\) = \(\frac{ 1}{ 2\pi \sqrt{LC}}\)

                                   \(f_r\) = \(\frac{1}{2\pi \sqrt{5\times10^{-6} \times 8\times 10^{-3}}}\)

                                    \(f_r\) = \(\frac{1}{ \pi 0.0004}\)  

                                     \(f_r\) = \(\frac{ 2500}{\pi}\)


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