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

  • question_answer
    The ratio of the magnetic field at the centre of a current carrying coil of the radius a and at a distance ?a? from centre of the coil and perpendicular to the axis of coil is  [MP PET 2002]

    A)            \[\frac{1}{\sqrt{2}}\]        

    B)            \[\sqrt{2}\]

    C)            \[\frac{1}{2\sqrt{2}}\]      

    D)            \[2\sqrt{2}\]

    Correct Answer: D

    Solution :

               \[\frac{{{B}_{c}}}{{{B}_{a}}}={{\left( 1+\frac{{{x}^{2}}}{{{a}^{2}}} \right)}^{3/2}}={{\left( 1+\frac{{{a}^{2}}}{{{a}^{2}}} \right)}^{3/2}}={{\left( 1+1 \right)}^{3/2}}=2\sqrt{2}\]


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