JCECE Engineering JCECE Engineering Solved Paper-2002

  • question_answer
    Two point charges of \[+3\mu C\] and \[-3\mu C\] are at a distance\[2\times 10\,\,m\] 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 \[\overset{\to }{\mathop{\mathbf{E}}}\,\] in broad side-on position is                 \[\overset{\to }{\mathop{\mathbf{E}}}\,=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{p}{{{r}^{3}}}\] where \[p\] is dipole moment given by                 \[p=q\times 2l=(3\times {{10}^{-6}}C)(2\times {{10}^{-3}}m)\]                    \[=6\times {{10}^{-9}}C\text{-}m\] Hence,\[\overset{\to }{\mathop{\mathbf{E}}}\,=9\times {{10}^{9}}\times \frac{6\times {{10}^{-9}}}{{{(0.6)}^{3}}}=250\,\,N{{C}^{-1}}\]


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