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NEET Sample Paper NEET Sample Test Paper-29

  • question_answer
    Two coil have a mutual inductance\[0.005\text{ }H\]. The current changes in first coil according to equation \[I={{I}_{0}}\sin \omega t\] where \[{{I}_{0}}=2A\] and \[\omega =100\pi \] rad/sec. The maximum value of emf in second coil is

    A)  \[4\pi \]                       

    B)  \[3\pi \]

    C)  \[2\pi \]                       

    D)  \[\pi \]

    Correct Answer: D

    Solution :

    \[e=M\frac{di}{dt}=0.005\times \frac{d}{dt}({{i}_{0}}\sin \omega t)=0.005\,{{i}_{0}}\,\omega \,\cos \,\omega t\] \[={{e}_{0}}\,\cos \,\omega t\]   \[\therefore \] \[{{e}_{\max }}=0.005\times 2\times 100\pi =\pi \]


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