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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 43

  • question_answer
    In a coil of resistance \[100\,\Omega \] a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is

    A) \[250\,Wb\]

    B) \[275\,Wb\]

    C) \[200\,Wb\]

    D)        \[225\,Wb\]

    Correct Answer: A

    Solution :

    According to Faraday's law of electromagnetic induction,  \[\varepsilon =\frac{d\phi }{dt}\] Also, \[\varepsilon =iR\] \[\therefore \,\,iR=\frac{d\phi }{dt}\Rightarrow \int{d\phi =R\int{idt}}\] Magnitude of change in flux \[(d\phi )=R\times \] area under current vs time graph or, \[d\phi =100\times \frac{1}{2}\times \frac{1}{2}\times 10=250Wb\]


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