JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Self Evaluation Test - Electromagnetic Induction

  • question_answer
    The magnetic flux \[\phi \] linked with a conducting coil depends on time as \[\phi =4{{t}^{n}}+6\], where n is a positive constant. The induced emf in the coil is e. Then which is wrong?

    A) If \[0<n<1\], \[e\ne 0\] and \[\left. \left| e \right. \right|\]decreases with time

    B) If n=1, e is constant

    C) If n > 1, \[\left| e \right|\]increases with time

    D) If n>l, \[\left| e \right|\] decreases with time

    Correct Answer: D

    Solution :

    [d] \[\phi =4{{t}^{n}}+6\]       \[\frac{d\phi }{dt}=4n{{t}^{n-1}}\] \[\left| {\vec{e}} \right|=4n{{t}^{n-1}}\], \[\left| \left. e \right| \right.=\frac{4n}{{{t}^{1-n}}}\]


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