JEE Main & Advanced Physics Magnetism Question Bank Self Evaluation Test - Magnetism and Matter

  • question_answer
    Two identical magnetic dipoles of magnetic moments\[1.0\,A\,-{{m}^{2}}\], each, placed at a separation of 2m with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

    A) \[5\times {{10}^{-7}}\,T\]

    B) \[\sqrt{5}\times {{10}^{-7}}\,T\]

    C) \[{{10}^{-7}}\,T\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[{{B}_{1}}=\frac{{{\mu }_{0}}}{4\pi }.\frac{2M}{{{r}^{3}}}={{10}^{-7}}\times \frac{2\times 1}{{{1}^{3}}}=2\times {{10}^{-7}}\,T\] and  \[{{B}_{2}}=\frac{{{\mu }_{0}}}{4\pi }.\frac{M}{{{r}^{3}}}={{10}^{-7}}\times \frac{1}{{{1}^{3}}}={{10}^{-7}}\,T\] Now, \[B=\sqrt{B_{1}^{2}+B_{2}^{2}}=\sqrt{5}\times {{10}^{-7}}\,T\]


You need to login to perform this action.
You will be redirected in 3 sec spinner