VIT Engineering VIT Engineering Solved Paper-2011

  • question_answer
    The insulation property of air breaks down at\[3\times {{10}^{6}}V/m\]. The maximum charge that can be given to a sphere of diameter 5 m is nearly

    A)  \[2\times {{10}^{-2}}C~\]

    B)  \[2\times {{10}^{-3}}C\]

    C)  \[2\times {{10}^{-4}}C\]

    D)  \[2\times {{10}^{-5}}C\]

    Correct Answer: B

    Solution :

    \[{{E}_{\max }}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{Q}_{\max }}}{{{R}^{2}}}\] \[3\times {{10}^{6}}=\frac{9\times {{10}^{9}}\times {{Q}_{\max }}}{2.5\times 2.5}\] or \[{{Q}_{\max }}=\frac{3\times {{10}^{6}}\times 2.5\times 2.5}{9\times {{10}^{9}}}\] \[=2\times {{10}^{-3}}C\]


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