JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Static EMI

  • question_answer
    An inductance L and a resistance R are first connected to a battery. After some time the battery is disconnected but L and R remain connected in a closed circuit. Then the current reduces to 37% of its initial value in                [MP PMT 1994]

    A)            RL sec                                      

    B)            \[\frac{R}{L}sec\]

    C)            \[\frac{L}{R}sec\]               

    D)            \[\frac{1}{LR}sec\]

    Correct Answer: C

    Solution :

               When battery disconnected current through the circuit start decreasing exponentially according to \[i={{i}_{0}}{{e}^{-Rt/L}}\] Þ \[0.37{{i}_{0}}={{i}_{0}}{{e}^{-Rt/L}}\] Þ \[0.37=\frac{1}{e}={{e}^{-Rt/L}}\] Þ \[t=\frac{L}{R}\]


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