Manipal Engineering Manipal Engineering Solved Paper-2012

  • question_answer
    In an LCR circuit having\[L=8H,\,\,C=0.5\mu F\]and \[R=100\Omega \]in series, the resonance frequency in\[rad/s\]is

    A) \[600\]                                 

    B) \[200\]

    C) \[250/\pi \]        

    D)        \[500\]

    Correct Answer: C

    Solution :

    From the formula,\[\omega =\frac{1}{\sqrt{LC}}\] Given,   \[L=8H\]               \[C=0.5\,\,\mu F=0.5\times {{10}^{-6}}F\] Comparing the powers, we get \[\therefore \]  \[\omega =\frac{1}{\sqrt{8\times 0.5\times {{10}^{-6}}}}\] \[\Rightarrow \]               \[\omega =\frac{1}{2\times {{10}^{-3}}}=500\] \[\Rightarrow \]               \[\omega =\frac{250}{\pi }rad/s\]


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