JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    What is the area of the plates of a \[3F\] parallel plate capacitor, if the separation between the plates is \[5mm\]                                                      [AIIMS 1998; Pb. PET 2000; BHU 2002]

    A)                    \[1.694\times {{10}^{9}}{{m}^{2}}\]

    B)                                      \[4.529\times {{10}^{9}}{{m}^{2}}\]

    C)                    \[9.281\times {{10}^{9}}\ {{m}^{2}}\]                    

    D)            \[12.981\times {{10}^{9}}\ {{m}^{2}}\]

    Correct Answer: A

    Solution :

                       We have \[C=\frac{{{\varepsilon }_{0}}A}{d}\] Þ \[A=\frac{Cd}{{{\varepsilon }_{0}}}=\frac{3\times 5\times {{10}^{-3}}}{8.85\times {{10}^{-12}}}\] \[=1.7\times {{10}^{9}}{{m}^{2}}\]


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