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NEET Sample Paper NEET Sample Test Paper-8

  • question_answer
    A current of 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 :

    Here, net magnetic field \[B=\frac{{{\mu }_{0}}}{4\pi }\left( \frac{2\pi -\theta )i}{R} \right)\] \[\frac{{{\mu }_{0}}}{4\pi }\frac{\left( 2\pi -\frac{\pi }{2} \right)\times i}{R}=\frac{3{{\mu }_{0}}i}{8R}\]             \[\Rightarrow \]                \[B+\frac{3\mu d}{8R}\]


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