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  4. A circuit consists of an inductance of 0.5 mH and a capacitor of text20 text ! !μ ! ! text F text. The frequency of the LC oscillations is approximately :

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Q. A circuit consists of an inductance of 0.5 mH and a capacitor of $ \text{20}\,\text{ }\!\!\mu\!\!\text{ F}\text{.} $ The frequency of the LC oscillations is approximately :

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Solution:

$ f=\frac{1}{2\pi \sqrt{LC}} $ $ \therefore $ $ f=\frac{1}{2\times 3.14\sqrt{0.5\times {{10}^{-3}}\times 20\times {{10}^{-6}}}} $ $ =\frac{1}{2\times 3.14\times {{10}^{-4}}} $ $ \approx 1600\,Hz. $