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JEE Main & Advanced Sample Paper JEE Main Sample Paper-33

  • question_answer
    An emf of 15 volt is applied in a circuit containing 5 Henry inductance and \[10\Omega \] resistance. The ratio of     the     current     at     time \[t=\infty \] and  \[t=1\text{ }sec.\]is :

    A)  \[\frac{{{e}^{1/2}}}{{{e}^{1/2}}-1}\]

    B)                     \[\frac{{{e}^{2}}}{{{e}^{2}}-1}\]

    C)  \[1-{{e}^{-1}}\]

    D)                     \[{{e}^{-1}}\]

    Correct Answer: B

    Solution :

    \[i=\,\frac{V}{R}(1-e{{\,}^{-\frac{tR}{L}}})\]             \[\frac{{{i}_{\infty }}\,=1.5}{{{i}_{i}}=1.5\,(1-{{e}^{-2}})}\,=\frac{{{e}^{2}}}{{{e}^{2}}-1}\]


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