NEET Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव NEET PYQ-Magnetic Effects Of Current

  • question_answer
    A long straight wire of radius a carries a steady current \[I\]. The current is uniformly distributed over its cross-section. The ratio of the magnetic fields B and B’, at radial distances \[\frac{a}{2}\] and 2a respectively, from the axis of the wire is :                                                                                                                                            [NEET - 2016]

    A)  \[\frac{1}{4}\]             

    B)       \[\frac{1}{2}\]

    C)  1                    

    D)       4        

    Correct Answer: C

    Solution :

    [c] For points inside the wire
    \[B=\frac{{{\mu }_{0}}Ir}{2\pi {{R}^{2}}}(r\le R)\]
    For points outside the wire
    \[B=\frac{{{\mu }_{0}}I}{2\pi R}(r\ge R)\]
    according to the question
    \[\frac{B}{B'}=\frac{\frac{{{\mu }_{0}}I(a/2)}{2\pi {{a}^{2}}}}{\frac{{{\mu }_{0}}I}{2\pi (2a)}}=1:1\]


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