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

  • question_answer
    In the circuit shown, the symbols have their usual meanings. The cell has emf E. X is initially joined to V for a long time. Then, disjoined to Z The maximum charge on C at any later time will be

    A) \[\frac{E}{R\sqrt{LC}}\]

    B) \[\frac{ER}{2\sqrt{LC}}\]

    C) \[\frac{E\sqrt{LC}}{2R}\]

    D) \[\frac{E\sqrt{LC}}{R}\]

    Correct Answer: D

    Solution :

    [d] Current in inductor\[=\frac{E}{R}\] \[\therefore \]  its energy\[=\frac{1}{2}\frac{L{{E}^{2}}}{{{R}^{2}}}\] Same energy is later stored in capacitor \[\frac{{{Q}^{2}}}{2C}=\frac{1}{2}\frac{L{{E}^{2}}}{{{R}^{2}}}\Rightarrow Q=\sqrt{LC}\frac{E}{R}\]


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