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JIPMER Jipmer Medical Solved Paper-2010

  • question_answer
    The magnetic flux linked with a coil at any instant \[t\] is given by the equation \[\phi =5{{t}^{3}}-100\,t+300.\] The magnitude of emf induced in the coil after 3 s is

    A)  10 V     

    B)                         20V                      

    C)  35V                      

    D)         70V

    Correct Answer: C

    Solution :

    Given, \[\phi =5{{t}^{3}}-100\,t+300\] \[e=-\frac{d\phi }{dt}=\frac{-d}{dt}(5{{t}^{3}}-100t+300)\]    \[=-(15{{t}^{2}}-100+0)\]    \[=-15{{t}^{2}}+100\] \[\therefore \] \[\frac{e}{t}=-15{{(3)}^{2}}+100=-15\times 9+100\]         \[=-135+100=-35\,V\] Minus sign signifies the Lenzs law.


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