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

  • question_answer
    In an LCR circuit as shown below both switches are open initially. Now switch\[{{S}_{1}}\]is closed, \[{{S}_{2}}\] kept open. (q is charge on the capacitor and\[\tau =RC\]is Capacitive time constant). Which of the following statements is correct?

    A) At, t=0,    q=CV (1-e)   

    B) At,\[t=\tau \], \[q=CV/2\]

    C) At, \[t=2\tau \], \[q=CV(1-{{e}^{-e}})\]

    D) At, \[t=2\tau \], \[q=CV(1-{{e}^{-1}})\]

    Correct Answer: C

    Solution :

    [c] Charge on he capacitor at any time t is given by \[q=CV\text{ (1}-{{e}^{-t/\tau }})\,at\,t=2\tau \] \[q=CV\text{ (1-}{{\text{e}}^{-2}}\text{)}\]


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