CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    A\[2\mu C\]charge moving around a circle with a frequency of\[6.25\times {{10}^{12}}Hz\] produces a magnetic field 6.28 T at the centre of the circle. The radius of the circle is

    A)  2.25m                  

    B)         0.25m

    C)  13.0m                  

    D)         1.25m

    E)  3.25m

    Correct Answer: D

    Solution :

    Given, \[q=2\mu C=2\times {{10}^{-6}}C\] \[f=6.25\times {{10}^{12}}Hz\] \[B=6.28\text{ }T\] The magnetic field at the centre of the circle \[B=\frac{{{\mu }_{0}}i}{2r}=\frac{{{\mu }_{0}}qf}{2r}\] \[[\because i=qf]\] \[6.28=\frac{4\pi \times {{10}^{-7}}\times 2\times {{10}^{-6}}\times 6.25\times {{10}^{12}}}{2r}\] or\[r=\frac{4\pi \times {{10}^{-7}}\times 2\times {{10}^{-6}}\times 6.25\times {{10}^{12}}}{6.28\times 2}\] \[=1.25m\]


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