JEE Main & Advanced Sample Paper JEE Main Sample Paper-25

  • question_answer
    The figure shows three circuits with identical batteries inductors and resistance. Rank the circuit according to the currents through the battery just after the switch is closed, greatest first.

    A)  \[{{i}_{2}}>{{i}_{3}}>{{i}_{1}}\]                            

    B)  \[{{i}_{2}}>{{i}_{1}}>{{i}_{3}}\]

    C)  \[{{i}_{1}}>{{i}_{2}}>{{i}_{3}}\]                            

    D)  \[{{i}_{1}}>{{i}_{3}}>{{i}_{2}}\]

    Correct Answer: A

    Solution :

    Just before closing the switch \[{{i}_{1}}=\theta ,\,\,{{i}_{2}}=\frac{E}{R}\,\,,\,\,{{i}_{3}}=\frac{E}{2R}\] So, \[{{i}_{2}}>{{i}_{3}}>{{i}_{1}}\] After a long time closing the switch \[{{R}_{eq}}\,=2R,\,\,{{R}_{eq}}\,=\frac{R}{2}\] \[{{R}_{eq}}=R\] Hence \[{{i}_{2}}>{{i}_{3}}>{{i}_{1}}\]


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