JEE Main & Advanced Physics Electro Magnetic Induction JEE PYQ-Electro Magnetic Induction

  • question_answer
    The flux linked with a coil at any instant t is given by\[\phi =10{{t}^{2}}-50t+250\] The induced emf at\[t=3\text{ }s\]is    [AIEEE 2006]

    A) \[-190V\]

    B) \[-10V\]

    C) \[10V\]

    D) \[190V\]

    Correct Answer: B

    Solution :

    [b] Given that the variation of flux with time as
    \[\phi =10{{t}^{2}}-50t+250\]
    From Faraday's law of electromagnetic induction,
    \[e=-\frac{d\phi }{dt}\]
    \[=\frac{-d(10{{t}^{2}}-50t+250)}{dt}\]
    \[\Rightarrow \]\[e=-[10\times 2t-50]\]
    \[\therefore \]\[e{{|}_{t=3s}}=-[10\times 6-50]\]
    \[=-10V\]


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