JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Self Evaluation Test - Electromagnetic Induction

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

    A) \[\ell /L\]

    B) \[{{\ell }^{2}}/L\]

    C) \[L/\ell \]

    D) \[{{L}^{2}}/\ell \]

    Correct Answer: B

    Solution :

    [b] \[{{\phi }_{total}}={{B}_{l\arg e}}{{A}_{small}}=\frac{{{\mu }_{0}}}{4\pi }\frac{i}{L/2}(2\sin \,{{45}^{o}})\times {{\ell }^{2}}\] On comparing with \[{{\phi }_{total}}=Mi\], we get \[M\propto \frac{{{\ell }^{2}}}{L}\]


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