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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Grouping of Capacitors

  • question_answer
    Three plates\[A,\ B,\ C\]each of area \[50\,c{{m}^{2}}\] have separation \[3mm\] between \[A\]and \[B\] and \[3mm\] between \[B\] and \[C\]The energy stored when the plates are fully charged is                                                                                               [SCRA 1996]

    A)                    \[1.6\times {{10}^{-9}}J\]

    B)                    \[2.1\times {{10}^{-9}}J\]

    C)                    \[5\times {{10}^{-9}}J\]

    D)                    \[7\times {{10}^{-9}}J\]

    Correct Answer: B

    Solution :

     There are two capacitors parallel to each other.                    \ Total capacitance\[=\frac{2{{\varepsilon }_{0}}A}{d}\]                    \Energy stored \[=\frac{1}{2}\left( \frac{2{{\varepsilon }_{0}}A}{d} \right)\,{{V}^{2}}\] \[=\frac{8.86\times {{10}^{-12}}\times 50\times {{10}^{-4}}\times {{12}^{2}}}{3\times {{10}^{-3}}}=2.1\times {{10}^{-9}}J\]


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