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

  • question_answer
    A circular coil of mean radius of 7 cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B = 0.5 gauss), the maximum e.m.f. induced in coil will be                                               [Pb. PMT 2003]

    A)            1.158 V                                   

    B)            0.58 V

    C)            0.29 V                                      

    D)            5.8 V 

    Correct Answer: B

    Solution :

                       \[{{e}_{0}}=\omega NBA=(2\pi \nu )NB(\pi {{r}^{2}})\]\[=2\times {{\pi }^{2}}\nu \ NB{{r}^{2}}\]                    \[=2\times {{(3.14)}^{2}}\times \frac{1800}{60}\times 4000\times 0.5\times {{10}^{-4}}\times {{(7\times {{10}^{-2}})}^{2}}\]            \[=0.58\ V\]


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