NEET Sample Paper NEET Sample Test Paper-8

  • question_answer
    A circular current carrying loop radius R, carries a current \[i,\] the magnetic field at a point on the axis of coil is \[\frac{1}{\sqrt{8}}\] times the value of magnetic field of the centre. Distance of point from centre is:

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

    B)  \[\frac{R}{\sqrt{3}}\]

    C)  \[R\sqrt{2}\]                          

    D)  \[R\]

    Correct Answer: D

    Solution :

    Given, \[\frac{{{\mu }_{0}}i{{R}^{2}}}{2{{({{R}^{2}}+{{X}^{2}})}^{3/2}}}=\frac{1}{\sqrt{8}}\frac{\mu {{'}_{0}}}{2R}\] \[{{({{R}^{2}}+{{X}^{2}})}^{3/2}}={{R}^{3}}\sqrt{8}\] \[({{R}^{2}}+{{X}^{2}})=8{{R}^{6}}\] \[X=\pm R\] (Here, \[-R\] is neglected)


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