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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Self Evaluation Test - Electric Chages and Fields

  • question_answer
    The insulation property of air breaks down when the electric field is \[3\times {{10}^{6}}V{{m}^{-1}}.\] The maximum charge that can be given to a sphere of diameter 5 m is approximately

    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 :

    [b] \[E=\frac{kQ}{{{r}^{2}}}\Rightarrow Q=\frac{E\times {{r}^{2}}}{k}=\frac{3\times {{10}^{6}}\times {{\left( 2.5 \right)}^{2}}}{9\times {{10}^{9}}}\] \[=2\times {{10}^{-3}}C\]


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