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

  • question_answer
    A circular loop of radius 0.0157m carries a current of 2.0 amp. The magnetic field at the centre of the loop is   \[({{\mu }_{0}}=4\pi \times {{10}^{-7}}\,weber/amp-m)\]                            [MP PET 2000]

    A)    \[\text{1}\text{.57}\times \text{10}{{\text{ }}^{\text{-5}}}\,weber/{{m}^{2}}\]              

    B)    \[8.0\times \text{10}{{\text{ }}^{\text{-5}}}\,weber/{{m}^{2}}\]

    C)    \[2.5\times \text{10}{{\text{ }}^{\text{-5}}}\,weber/{{m}^{2}}\]           

    D)    \[\text{3}.14\times \text{10}{{\text{ }}^{\text{-5}}}\,weber/{{m}^{2}}\]

    Correct Answer: B

    Solution :

       \[B=\frac{{{\mu }_{0}}}{4\pi }\frac{2\pi i}{r}={{10}^{-7}}\times \frac{2\pi \times 2}{0.0157}=8\times {{10}^{-5}}Wb/{{m}^{2}}\]


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