JEE Main & Advanced Sample Paper JEE Main - Mock Test - 31

  • question_answer
    A long straight wire carrying a current of 30 A is placed in an external uniform magnetic field of induction\[4\times {{10}^{-4}}T\]. The magnetic field is acting parallel to the direction of current. The magnitude of the resultant magnetic induction in tesla at a point 2.0 cm away from the wire is

    A) \[{{10}^{-4}}\]           

    B)        \[3\times {{10}^{-4}}\]

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

    D)        \[6\times {{10}^{-4}}\]

    Correct Answer: C

    Solution :

    [c] Magnetic field due to wire \[B=\frac{{{\mu }_{0}}I}{2\pi r}=\frac{4\pi \times {{10}^{-7}}}{2\pi }\times \frac{30}{2\times {{10}^{-2}}}\] \[=3\times {{10}^{-4}}T\] This magnetic field will be perpendicular to external magnetic field. \[\therefore \] Net magnetic field \[B=\sqrt{{{B}^{2}}+B_{0}^{2}}\] \[=\sqrt{{{(3\times {{10}^{-4}})}^{2}}+{{(4\times {{10}^{-4}})}^{2}}}\] \[=5\times {{10}^{-4}}T\]


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