12th Class Physics Electro Magnetic Induction Question Bank MCQ - Electromagnetic Induction

  • question_answer
    In a magnetic field 0.05 T, area of coil changes from \[101\text{ }c{{m}^{2}}\] to \[100\text{ }c{{m}^{2}}\] without changing the resistance which is \[2\,\Omega \]. The amount of charge that flows during this period is:

    A) \[{{10}^{-6}}C\]                     

    B) \[2\times {{10}^{-6}}C\]

    C) \[8\times {{10}^{-6}}C\]                      

    D) \[2.5\times {{10}^{-6}}C\]

    Correct Answer: D

    Solution :

    (d) \[2.5\times {{10}^{-6}}C\] Magnetic flux \[\phi =B,\,\,A,\] \[\therefore \] change in flux \[\Delta \,\phi =B.\,dA\] \[\Delta \,\phi =0.05(101-100)\times {{10}^{-4}}\] \[=5\times {{10}^{-6}}Wb\] \[\therefore \] Change in charge \[\Delta Q=\frac{\Delta \phi }{r}=\frac{5\times {{10}^{-6}}}{2}\]                         \[=2.5\times {{10}^{-6}}C\]


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