12th Class Physics Magnetism Question Bank MCQ - Moving Charges and Magnetism

  • question_answer
    A circular coil of wire consisting of 100 turns each of radius 9 cm carries a current of 0.4 A. The magnitude of magnetic field at the centre of the coil is:

    A) \[2.4\times {{10}^{-4}}T\]                   

    B) \[3.5\times {{10}^{-4}}T\]

    C) \[2.79\times {{10}^{-4}}T\]                  

    D) \[3\times {{10}^{-4}}T\]

    Correct Answer: C

    Solution :

    (c) \[2.79\times {{10}^{-4}}T\] Here      \[N=100\] \[R=9\,cm=9\times {{10}^{-2}}m\] and \[l=0.4\,A\]                                        Now, \[B=\frac{{{\mu }_{0}}Nl}{2R}=\frac{2\pi \times {{10}^{-7}}\times 100\times 0.4}{9\times {{10}^{-2}}}\] \[=\frac{2\times 3.14\times 0.4}{9}\times {{10}^{-3}}=0.279\times {{10}^{-3}}T\] \[=2.79\times {{10}^{-4}}T\]


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