JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Self Evaluation Test - Alternating Current

  • question_answer
      In an L-C circuit shown in the figure, C=1F, L=4H at time t=0, charge in the capacitor is 4C and it is decreasing at a rate of\[\sqrt{5}\,C/s\]. Choose the correct statements.

    A) maximum charge in the capacitor can be 6C

    B) maximum charge in the capacitor can be 8C

    C) charge in the capacitor will be maximum after time \[2\,{{\sin }^{-1}}\](2/3) sec

    D) None of these

    Correct Answer: A

    Solution :

    [a] \[i=\sqrt{5}A\] \[\frac{{{q}^{2}}m}{2C}=\frac{{{q}^{2}}}{2C}+\frac{1}{2}L{{i}^{2}}\,\,\,\Rightarrow {{q}_{\max }}=6C\]


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