JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Critical Thinking

  • question_answer
    Two conducting circular loops of radii \[{{R}_{1}}\] and \[{{R}_{2}}\] are placed in the same plane with their centres coinciding. If \[{{R}_{1}}>>{{R}_{2}}\], the mutual inductance M between them will be directly proportional to   [MP PMT 1994; MP PET 2001]

    A)            \[{{R}_{1}}/{{R}_{2}}\]     

    B)            \[{{R}_{2}}/{{R}_{1}}\]

    C)            \[R_{1}^{2}/{{R}_{2}}\]    

    D)            \[R_{2}^{2}/{{R}_{1}}\]

    Correct Answer: D

    Solution :

                       Mutual inductance between two coil in the same plane with their centers coinciding is given by            \[M=\frac{{{\mu }_{0}}}{4\pi }\left( \frac{2{{\pi }^{2}}R_{2}^{2}{{N}_{1}}{{N}_{2}}}{{{R}_{1}}} \right)\] henry.


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