RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer The capacitance of a spherical conductor with radius 1 m is:

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

    B)  \[1\mu F\]

    C)  \[2.5\times {{10}^{-10}}F\] 

    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:                     \[r=1\,m,\]                                                 \[4\pi {{\varepsilon }_{0}}=\frac{1}{9\times {{10}^{9}}}\]                                 \[C=\frac{1}{4\times {{10}^{9}}}\times 1\] \[C=2.5\times {{10}^{-10}}F\]

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