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NEET Sample Paper NEET Sample Test Paper-46

  • question_answer
    Two similar coils of radius R and number of turns N are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 21 respectively. The resultant magnetic induction at the centre will be

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

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

    C)                    \[\frac{\sqrt{3}{{\mu }_{0}}NI}{2R}\]

    D)                    \[\frac{\sqrt{5}\,{{\mu }_{0}}NI}{2R}\]

    Correct Answer: D

    Solution :

    At centre, \[\overrightarrow{B}\,\,=\,\,{{\overrightarrow{B}}_{1}}\,\,+\,\,{{\overrightarrow{B}}_{2}}\] \[\left| B \right|\,\,=\,\sqrt{{{B}^{2}}_{1}+{{B}^{2}}_{2}}\,\,=\,\,\frac{{{\mu }_{0}}Ni}{2R}\,\,\sqrt{5}\,\]


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