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DUMET Medical DUMET Medical Solved Paper-2003

  • question_answer
    Magnetic flux in a circuit containing a coil of resistance \[2\,\,\Omega \] changes from 2.0 Wb to 10 Wb in 0.2 s. The charge passed through the coil in this time is :

    A)  0.8 C            

    B)  1.0 C

    C)  5.0 C           

    D)  4.0 C

    Correct Answer: D

    Solution :

     From Faradays law of electromagnetic induction, the emf (e) induced is equal to rate of change of magnetic flux \[(\phi )\], i.e., \[\left| e \right|=\frac{d\phi }{dt}\] Also, \[\left| e \right|=IR\]where \[I\]is current and R is resistance. \[\therefore \] \[IR=\frac{d\phi }{dt}\] \[\Rightarrow \] \[I\,dt=\frac{d\phi }{R}\] Charge, \[q=Idt=\frac{d\phi }{R}\] Given,\[d\phi =10-2=8\,Wb,\,R=2\,\Omega \] \[\therefore \] \[q=\frac{8}{2}=4\,C\]


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