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

  • question_answer
    A current i ampere flows in a circular arc of wire whose radius is R, which subtend an angle \[3\pi /2\] radian at its centre. The magnetic induction B at the centre is

    A)            \[\frac{{{\mu }_{0}}i}{R}\]

    B)            \[\frac{{{\mu }_{0}}i}{2R}\]

    C)            \[\frac{2{{\mu }_{0}}i}{R}\]

    D)            \[\frac{3{{\mu }_{0}}i}{8R}\]

    Correct Answer: D

    Solution :

               \[B=\frac{{{\mu }_{0}}}{4\pi }\frac{(2\pi -\theta )i}{R}=\frac{{{\mu }_{0}}}{4\pi }\frac{\left( 2\pi -\frac{\pi }{2} \right)\times i}{R}\]\[=\frac{3{{\mu }_{0}}i}{8R}\]


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