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

  • question_answer
    In the figure the flux through the loop perpendicular to the plane of the coil and directed into the paper is varying according to the relation \[\phi =6{{t}^{2}}+7t+1\] where \[\phi \] is in milli weber and t is in second. The magnitude of the emf induced in the loop at t=2 s and the direction of induce current through R are                 

    A) 39 m V; right to left      

    B) 39 m V; left to right      

    C) 31 m V; right to left     

    D) 31 m V; left to right      

    Correct Answer: D

    Solution :

    [d] \[\phi =6{{t}^{2}}+7t+1\Rightarrow \frac{d\phi }{dt}=12t+7\] At time, t = 2 sec \[\frac{d\phi }{dt}=24+7=31\,mv\] Direction of current is from left to right according to Flemings right hand rule.


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