JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Critical Thinking

  • question_answer
    Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation \[I={{I}_{0}}\sin \omega \,t\], where \[{{I}_{0}}=10A\] and w = 100 p radian/sec. The maximum value of e.m.f. in the second coil is [CBSE PMT 1998; Pb. PMT 2000]

    A)            2p  

    B)            5p

    C)            p    

    D)            4p

    Correct Answer: B

    Solution :

                       \[e=M\frac{di}{dt}=0.005\times \frac{d}{dt}({{i}_{0}}\sin \omega t)\]\[=0.005\times {{i}_{0}}\omega \cos \omega \,t\]            \[\therefore {{e}_{\max }}=0.005\times 10\times 100\pi =5\pi \]


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