JCECE Medical JCECE Medical Solved Paper-2002

  • question_answer
    Two point charges of\[+\,3\mu C\] and \[-\,3\mu C\]are at a distance \[2\times {{10}^{-3}}\,m\]apart from each other. The  electric field at a distance of 0.6 m from the dipole in broadside-on position is:

    A) \[150\,N{{C}^{-1}}\]

    B) \[250\,N{{C}^{-1}}\]

    C)  \[60\,N{{C}^{-1}}\]

    D) \[35\,N{{C}^{-1}}\]

    Correct Answer: B

    Solution :

     Electric field \[\vec{E}\]in broad side-on position is \[\vec{E}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{P}{{{r}^{3}}}\] where p is dipole moment given by \[p=q\times 2l=(3\times {{10}^{-6}}C)(2\times {{10}^{-3}}m)\] \[=6\times {{10}^{-9}}C-m\] Hence, \[\vec{E}=9\times {{10}^{9}}\times \frac{6\times {{10}^{-9}}}{{{(0.6)}^{3}}}=250N{{C}^{-1}}\]


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