JEE Main & Advanced Physics Electrostatics & Capacitance JEE PYQ-Electrostatics and Capacitance

  • question_answer
    Capacitance (in F) of a spherical conductor having radius 1 m, is                 [AIEEE 2002]

    A) \[1.1\times {{10}^{-10}}\]

    B) \[{{10}^{-6}}\]

    C) \[9\times {{10}^{-9}}\]

    D) \[{{10}^{-3}}\]

    Correct Answer: A

    Solution :

    [a] Capacitance of spherical conductor \[=A\pi {{\varepsilon }_{0}}a\] where, a is radius of conductor.
                Therefore,
                \[C=\frac{1}{9\times {{10}^{9}}}\times 1=-\frac{1}{9}\times {{10}^{-9}}=0.11\times {{10}^{-9}}F\]
                \[=1.1\times {{10}^{-10}}F\]


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