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JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
    A small square loop of wire of side \[l\] is placed inside   a large square loop of wire of side L          \[\left( L>>l \right)\]. The loops are coplanar and their centre coincides. The mutual inductance of the system is proportional to:                                       

    A) \[l/L\]              

    B)   \[{{l}^{2}}/L\]         

    C) \[L/l\]               

    D)    \[{{L}^{2}}/l\]         

    Correct Answer: B

    Solution :

    Magnetic field at the centre of larger loop \[B=k\frac{I}{L}\] Magnetic flux in the smaller loop \[\phi =B.S=\frac{kI}{L}({{l}^{2}})\] Mutual inductance \[M=\frac{k{{l}^{2}}}{L}\] \[M\,\alpha \,\,\frac{{{l}^{2}}}{L}\]


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