JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Biot-savart's Law and Amperes Law

  • question_answer
    A long straight wire carries a current of \[\pi \,amp.\] The magnetic field due to it will be \[5\times {{10}^{-5}}\text{ }weber/{{m}^{\text{2}}}\] at what distance from the wire \[[{{\mu }_{o}}=\]permeability of air]  [MP PMT 2002]

    A)            \[{{10}^{4}}{{\mu }_{o}}\] metre                                     

    B)            \[\frac{{{10}^{4}}}{{{\mu }_{o}}}\] metre

    C)            \[{{10}^{6}}{{\mu }_{o}}\] metre                                     

    D)            \[\frac{{{10}^{6}}}{{{\mu }_{o}}}\]metre

    Correct Answer: A

    Solution :

               \[B=\frac{{{\mu }_{0}}}{2\pi }\frac{i}{r}\Rightarrow 5\times {{10}^{-5}}=\frac{{{\mu }_{0}}}{2\pi }\times \frac{\pi }{r}\Rightarrow r={{10}^{4}}{{\mu }_{0}}\ metre\]


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