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

  • question_answer
    A series resonant LCR circuit has a quality factor (Q-factor) \[=0.4.\text{ }I\text{f }R=2\text{ k}\,\Omega ,\text{ }C=0.1\,\mu F\], then the value of inductance is:

    A) 0.1 H                           

    B) 0.064 H

    C) 2 H                              

    D) 5 H

    Correct Answer: B

    Solution :

    (b) 0.064 H Quality factor, \[Q=\frac{1}{R}\sqrt{\frac{1}{C}}\] or \[\frac{L}{C}={{(QR)}^{2}}\] Here,     \[Q=0.4,\,\,R=2\,k\Omega =2\times {{10}^{3}}\Omega \]             \[C=0.1\mu F=0.1\times {{10}^{-6}}F\] \[\therefore L={{(QR)}^{2}}C\] \[\therefore \,\,\,\,\,\,\,L={{(0.4\times 2\times {{10}^{3}})}^{2}}\times 0.1\times {{10}^{-6}}=0.064\,H\]


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