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

  • question_answer
    A coil of inductance 300 mH and resistance \[2\Omega \] is connected to a source of voltage \[2V\]. The current reaches half of its steady state value in                                                                  [AIEEE 2005]

    A)            0.15 s                                       

    B)            0.3 s

    C)            0.05 s                                       

    D)            0.1 s

    Correct Answer: D

    Solution :

               \[i={{i}_{0}}\left( 1-{{e}^{\frac{-Rt}{L}}} \right)\] Þ For \[i=\frac{{{i}_{0}}}{2}\],  \[t=0.693\frac{L}{R}\]                    Þ \[t=0.693\times \frac{300\times {{10}^{-3}}}{2}=0.1\,sec\] 


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