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JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Faraday's and Lenz's Law

  • question_answer
    A 50 turns circular coil has a radius of \[3\ cm\], it is kept in a magnetic field acting normal to the area of the coil. The magnetic field \[B\] increased from 0.10 tesla to 0.35 tesla in 2 milliseconds. The average induced e.m.f. in the coil is [MP PET 1994]

    A)            \[1.77\ volts\]                      

    B)            \[17.7\ volts\]

    C)            \[177\ volts\]                       

    D)            \[0.177\ volts\]

    Correct Answer: B

    Solution :

                       \[e=-\frac{N({{B}_{2}}-{{B}_{1}})A\cos \theta }{\Delta t}\]            \[=-\frac{50(0.35-0.10)\times \pi {{(3\times {{10}^{-2}})}^{2}}\times \cos {{0}^{o}}}{2\times {{10}^{-3}}}\]\[\,=17.7\ V\].


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