J & K CET Medical J & K - CET Medical Solved Paper-2014

  • question_answer
    An infinite line charge produces a field of \[18\times {{10}^{5}}N/C\] at a distance of 4 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, \[E=\frac{2\lambda }{4\pi {{\varepsilon }_{0}}r}\] \[\lambda =E(2\pi {{\varepsilon }_{0}}r)\] \[=\frac{18\times {{10}^{5}}\times (4\times {{10}^{-2}})}{2\times 9\times {{10}^{9}}}\] \[=4\times {{10}^{-6}}C/m=4C/m\]


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