RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    The magnetic field induction at centre O will be

    A)  \[\frac{3{{\mu }_{0}}{{I}_{a}}}{4a}\]

    B)  \[\frac{{{\mu }_{0}}{{I}_{a}}}{4\pi a}(1+\pi )\]

    C)  \[\frac{{{\mu }_{0}}I}{4\pi a}\]

    D)  \[\frac{3{{\mu }_{0}}I}{8a}\]

    Correct Answer: D

    Solution :

     The magnetic field due to radical arc \[B=\frac{{{\mu }_{0}}I\alpha }{4\pi a}\] \[=\frac{{{\mu }_{0}}I}{4\pi a}\left( \frac{3\pi }{2} \right)\] \[=\frac{3{{\mu }_{0}}I}{8a}\]


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