12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Case Based (MCQs) - Alternating Currents

  • question_answer
    Direction: Q.16 to Q.20
    An LC circuit also called a resonant circuit, tank circuit or tuned circuit is an electric circuit consisting of an inductor represented by the letter L and a capacitor, represented by the letter C connected together. An LC circuit is an idealised model since it assumes there is no dissipation of energy due to resistance.
    An LC circuit contains a 20 mH inductor and a \[50\,\mu F\] capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Let the instant the circuit is closed be t = 0.
    Based on the above information, answer the following questions.  .
    The total energy stored initially is:

    A) 5 J                               

    B) 3 J       

    C) 10 J                             

    D) 1 J

    Correct Answer: D

    Solution :

    (d) 1 J Energy, \[E=\frac{1}{2}\frac{{{Q}^{2}}}{C}=\frac{{{(10\times {{10}^{-3}})}^{2}}}{2\times 50\times {{10}^{-6}}}=1\,J\]


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