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

  • question_answer
        The Q factor of a series LCR circuit with \[L=2\,H,\,C=32\,\mu F\] and \[R=10\,\Omega \] is:

    A) 15                    

    B) 20     

    C) 25                    

    D) 30

    Correct Answer: C

    Solution :

    (c) 25 Here, \[L=2\,H,\,C=32\,\mu F=32\times {{10}^{-6}}F;R=10\,\Omega \] Resonance frequency, \[{{\omega }_{r}}=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{2\times 32\times {{10}^{-6}}}}=\frac{{{10}^{3}}}{8}rad\,{{s}^{-1}}\] Quality factor \[=\frac{{{\omega }_{r}}L}{R}=\frac{{{10}^{3}}\times 2}{8\times 10}=25\]


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