CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    Find the potential at the centre of a square of side\[\sqrt{2}m\]. Which carries at its four comers charges\[{{q}_{1}}=3\times {{10}^{-6}}C,{{q}_{2}}=-3\times {{10}^{-6}}C,\] \[{{q}_{3}}=-4\times {{10}^{-6}}C,{{q}_{4}}=7\times {{10}^{-6}}C\]

    A)  \[2.7\times {{10}^{4}}V\]            

    B)         \[1.5\times {{10}^{3}}V\]

    C)  \[3\times {{10}^{2}}V\]               

    D)         \[5\times {{10}^{3}}V\]

    E)  \[3\times {{10}^{3}}V\]

    Correct Answer: A

    Solution :

    The potential \[V=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{1}{r}({{q}_{1}}+{{q}_{2}}+{{q}_{3}}+{{q}_{4}})\]                 \[V=(9\times {{10}^{9}})\left( \frac{1}{1m} \right)\{(3-3-4+7)\times {{10}^{-6}}C\}\] \[=2.7\times {{10}^{4}}\frac{N-m}{C}=2.7\times {{10}^{4}}\frac{J}{C}\] \[=2.7\times {{10}^{4}}V\]


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