12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank MCQ - Alternating Currents

  • question_answer
    The resonant frequency of a series LCR circuit with \[L=2.0\,\,H,C=32\mu F\] and \[R=10\,\Omega \]is:

    A) 20 Hz                           

    B) 30 Hz  

    C) 40 Hz                           

    D)  50 Hz

    Correct Answer: A

    Solution :

    (a) 20 Hz Here, \[L=2\,\,H,C=32\,\,\mu F=32\times {{10}^{-6}}F:\]             \[R=10\,\Omega \] \[{{\omega }_{r}}=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{2\times 32\times {{10}^{-6}}}}=125\,\,rad\,{{s}^{-1}}\] \[{{v}_{r}}=\frac{{{\omega }_{r}}}{2\pi }=\frac{125}{2\times 3.14}=20\,Hz\]


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