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Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2006

  • question_answer
      The magnetic flux linked with a coil at any instant t is given by \[\phi =5{{t}^{3}}-100t+300,\] the emf induced in the coil after t = 2 s is

    A)  -40V                                     

    B)  40V

    C)  140V                                    

    D)  300V

    Correct Answer: B

    Solution :

    Given, magnetic flux \[(\phi )=5{{t}^{3}}-100t+300\] \[\therefore \]  \[\frac{d\phi }{dt}=15{{t}^{2}}-100\] Induced emf  \[e=-\frac{d\phi }{dt}\]                                 \[=-(15{{t}^{2}}-100)\] After \[t=2s.\]                                 \[e=-(15\times {{2}^{2}}-100)\]                                 \[=-(60-100)\]                                 \[=40V\]


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