CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    A straight conductor carries a current of 5 A. An electron   travelling with   a   speed   of \[5\times {{10}^{6}}m{{s}^{-1}}\]parallel to the wire at a distance of 0.1 m from the conductor, experiences a force of:

    A)  \[8\times {{10}^{-20}}N\]           

    B)  \[3.2\times {{10}^{-19}}N\]       

    C)                         \[8\times {{10}^{-18}}N\]     

    D)         \[1.6\times {{10}^{-19}}N\]

    E)  zero

    Correct Answer: C

    Solution :

    \[F=Bev\] and           \[B=\frac{{{\mu }_{0}}i}{2\pi r}\] \[\therefore \]  \[F=\frac{{{\mu }_{0}}i}{2\pi r}\times ev\] \[=\frac{4\pi \times {{10}^{-7}}\times 5}{2\pi \times 0.1}\times 1.6\times {{10}^{-19}}\times 5\times {{10}^{6}}\] \[=8\times {{10}^{-18}}N\]


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