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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    The respective radii of the two spheres of a spherical condenser are \[12\ cm\] and \[9\ cm\]. The dielectric constant of the medium between them is 6. The capacity of the condenser will be                                             [MP PET 1993]

    A)                    \[240pF\]

    B)                                      \[240\mu F\]

    C)                    \[240F\]                          

    D)            None of the above

    Correct Answer: A

    Solution :

                       \[C=4\pi {{\varepsilon }_{0}}K\,\left[ \frac{ab}{b-a} \right]=\frac{1}{9\times {{10}^{9}}}.6\,\left[ \frac{12\times 9\times {{10}^{-4}}}{3\times {{10}^{-2}}} \right]\] \[=24\times {{10}^{-11}}=240\,pF\]


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