JCECE Medical JCECE Medical Solved Paper-2014

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