JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Faraday's and Lenz's Law

  • question_answer
    The magnetic flux linked with a coil, in webers, is given by the equations \[\varphi =3{{t}^{2}}+4t+9\]. Then the magnitude of induced e.m.f. at t = 2 second will be [KCET 2000; CPMT 2003; MP PET 2005]

    A)            2 volt                                       

    B)            4 volt

    C)            8 volt                                       

    D)            16 volt

    Correct Answer: D

    Solution :

                       \[e=-\frac{d\varphi }{dt}=-\frac{d}{dt}\left( 3{{t}^{2}}+4t+9 \right)=-\left( 6t+4 \right)\]            \[e=-\left[ 6(2)+4 \right]=-16\Rightarrow \,|e|\,=16\ volt\]


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