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NEET Sample Paper NEET Sample Test Paper-46

  • question_answer
    Two resistors of \[10\,\Omega \] and \[20\,\Omega \] and an ideal inductor of 10H are connected to a 2 V battery as shown. The key K is inserted at time\[t\text{ }=\text{ }0\]. The initial (\[t\text{ }=\text{ }0\] ) and final \[(t\text{ }\to \text{ }\infty )\] currents through battery are -

    A) \[\frac{1}{15}A,\,\frac{1}{10}A\]

    B)                    \[\frac{1}{10}A,\,\frac{1}{15}A\]

    C)                    \[\frac{2}{15}A,\,\frac{1}{10}A\]

    D)                    \[\frac{1}{15}A,\,\frac{2}{25}A\]

    Correct Answer: A

    Solution :

    At \[t=0\] inductor acts as open circuit \[\therefore \,\,\,{{I}_{t=0}}\,\,=\,\,\frac{V}{{{R}_{Total}}}\,=\,\frac{2}{30}\,\,=\,\,\frac{1}{15}\,\,A\] \[\therefore \,\,\,{{I}_{t=\infty }}\,\,=\,\,\frac{V}{{{R}_{Total}}}\,=\,\frac{2}{30}\,\,=\,\,\frac{1}{10}\,\,A\]


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