Haryana PMT Haryana PMT Solved Paper-2004

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


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