JCECE Engineering JCECE Engineering Solved Paper-2014

  • question_answer
    The capacitance of a spherical conductor with radius \[1\,\,m\] is

    A) \[9\times {{10}^{9}}F\]                 

    B) \[1\mu F\]

    C) \[1.1\times {{10}^{-10}}F\]                         

    D)  \[1\times {{10}^{-6}}F\]

    Correct Answer: C

    Solution :

    The capacitance of spherical conductor is given by                 \[C=4\pi {{\varepsilon }_{0}}r\] Here,     \[r=1m,\,\,4\pi {{\varepsilon }_{0}}=\frac{1}{9\times {{10}^{9}}}\] \[\therefore \]  \[C=\frac{1}{9\times {{10}^{9}}}\times 1\]                 \[=1.1\times {{10}^{-10}}F\]


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