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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    Two identical magnetic dipoles of magnetic moment \[2\,A{{m}^{2}}\] are placed at a separation of 2 m with their axis perpendicular to each other in air. The resultant magnetic field at a midpoint between the dipoles is

    A)  \[4\sqrt{5}\times {{10}^{-5}}T\]               

    B)         \[2\sqrt{5}\times {{10}^{-5}}T\]               

    C)         \[4\sqrt{5}\times {{10}^{-7}}T\]               

    D)         \[2\sqrt{5}\times {{10}^{-7}}T\]

    E)  \[4\sqrt{2}\times {{10}^{-7}}T\]

    Correct Answer: D

    Solution :

    \[R=\sqrt{{{P}^{2}}+{{Q}^{2}}}\] \[B={{\left\{ {{\left[ \frac{2p}{{{\left( \frac{d}{2} \right)}^{3}}} \right]}^{2}}+{{\left[ \frac{p}{{{\left( \frac{d}{2} \right)}^{3}}} \right]}^{2}} \right\}}^{1/2}}\times {{10}^{-7}}\] \[=\sqrt{({{4}^{2}}+4)}\times {{10}^{-7}}\] \[=\sqrt{20}\times {{10}^{-7}}=2\sqrt{5}\times {{10}^{-7}}T\]


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