RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    A circular coil of radius 2 cm has 10 turns, if 0.5 A current is flowing through it, then what will be the magnetic field at its centre?

    A)  \[1.57\times {{10}^{6}}T\]          

    B)  \[1.57\times {{10}^{-5}}T\]

    C)  \[1.57\times {{10}^{-4}}T\]

    D)  \[1.57T\]

    Correct Answer: C

    Solution :

    \[n=10,r=2\,cm=2\times {{10}^{2}}\,m,\,i=0.5\text{A}\]Magnetic field at the centre of a circular coil \[B=\frac{{{\mu }_{0}}ni}{2r}\] \[=\frac{4\pi \times {{10}^{-7}}\times 10\times 0.5}{2\times 2\times {{10}^{-2}}}\] \[=5\pi \times {{10}^{-5}}=5\times 3.14\times {{10}^{-5}}\text{T}\] \[=157\times {{10}^{-4}}\text{T}\]


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