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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Self Evaluation Test - Electrostatic Potential and Capacitance

  • question_answer
    In a Van de Graff generator, a spherical metal shell is to be \[15\times {{10}^{6}}V\] electrode. The dielectric strength of the gas surrounding the electrode is \[15\times {{10}^{-7}}V{{m}^{-1}}.\] The minimum radius of the spherical shell required is

    A) 1m

    B) 2m  

    C) 1.5m

    D) 3m

    Correct Answer: D

    Solution :

    [d] Here, \[V=15\times {{10}^{6}}V\] dielectric strength \[=5\times {{10}^{7}}V{{m}^{-1}}\] Maximum electric field, E = 10% of dielectric strength As \[E=\frac{V}{r}\text{      }\therefore r=\frac{V}{E}=\frac{15\times {{10}^{6}}}{5\times {{10}^{6}}}=3m\]


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