J & K CET Engineering J and K - CET Engineering Solved Paper-2014

  • question_answer
    An infinite line charge produces a field of \[18\times {{10}^{5}}\text{ }N/C\]at a distance of \[4\text{ }cm\]. What is the linear charge density?

    A)  \[18\,\mu \,C/m\]

    B)  \[5\,\mu \,C/m\]        

    C)  \[4\,\mu \,C/m\]

    D)  \[10\,\mu \,C/m\]

    Correct Answer: C

    Solution :

    For a infinite line charge, \[E=\frac{2\lambda }{4\pi {{\varepsilon }_{0}}r}\] \[\lambda =E(2\pi {{\varepsilon }_{0}}r)\] \[=\frac{18\times {{10}^{5}}\times (4\times {{10}^{-2}})}{2\times 9\times 10h9}\] \[=4\times {{10}^{-6}}\,C/m\] \[=4\,\,C/m\]


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