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JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Motional EMI

  • question_answer
    A rectangular coil of 300 turns has an average area of average area of \[25\ cm\times 10\ cm.\] The coil rotates with a speed of 50 cps in a uniform magnetic field of strength \[4\times {{10}^{-2}}T\] about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt)  [KCET 2004]

    A)               \[3000\pi \]              

    B)               \[300\pi \]

    C)               \[30\pi \]                  

    D)               \[3\pi \]

    Correct Answer: C

    Solution :

                       Peak value of \[emf={{e}_{0}}=\omega NBA=2\pi \nu NBA\]                    \[=2\pi \times 50\times 300\times 4\times {{10}^{-2}}\times (25\times {{10}^{-2}}\times 10\times {{10}^{-2}})\]                    \[=30\ \pi \ volt\]


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