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

  • question_answer
    A charge q coulomb moves in a circle at n revolutions per second and the radius of the circle is r metre. Then magnetic field at the centre of the circle is

    A)            \[\frac{2\pi q}{nr}\times {{10}^{-7}}\] N/amp/metre           

    B)            \[\frac{2\pi q}{r}\times {{10}^{-7}}\] N/amp/metre

    C)            \[\frac{2\pi nq}{r}\times {{10}^{-7}}\]N/amp/metre

    D)            \[\frac{2\pi q}{r}\] N/amp/metre

    Correct Answer: C

    Solution :

               The magnetic field at the centre of the circle \[=\frac{{{\mu }_{o}}}{4\pi }\times \frac{2\pi i}{r}={{10}^{-7}}\times \frac{2\pi (nq)}{r}=\frac{2\pi nq}{r}\times {{10}^{-7}}N/A\text{-}m\]


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