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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    The area of each plate of a parallel plate capacitor is \[100\,c{{m}^{2}}\]and the distance between the plates is\[1mm\]. It is filled with mica of dielectric 6. The radius of the equivalent capacity of the sphere will be

    A)                    \[47.7\ m\]

    B)                                      4.77 \[m\]

    C)                    477 \[m\]                       

    D)            None of the above

    Correct Answer: B

    Solution :

                       \[C=\frac{{{\varepsilon }_{0}}AK}{d}=4\pi {{\varepsilon }_{0}}r\] r = Radius of sphere of equivalent capacity Þ \[r=\frac{AK}{4\pi d}=\frac{100\times {{10}^{-4}}\times 6}{1\times {{10}^{-3}}\times 4\times 3.14}\]\[=\frac{15}{3.14}=4.77\,m\]


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