JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    The mean electric energy density between the plates of a charged capacitor is (here \[q\]= charge on the capacitor and \[A\]= area of the capacitor plate)                                                   [MP PET 2002]

    A)            \[\frac{{{q}^{2}}}{2{{\varepsilon }_{0}}{{A}^{2}}}\] 

    B)            \[\frac{q}{2{{\varepsilon }_{0}}{{A}^{2}}}\]

    C)            \[\frac{{{q}^{2}}}{2{{\varepsilon }_{0}}A}\]                

    D)            None of the above

    Correct Answer: A

    Solution :

               Energy density \[=\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}=\frac{1}{2}{{\varepsilon }_{0}}{{\left( \frac{\sigma }{{{\varepsilon }_{0}}} \right)}^{2}}=\frac{{{\sigma }^{2}}}{2{{\varepsilon }_{0}}}=\frac{{{q}^{2}}}{2{{\varepsilon }_{0}}{{A}^{2}}}\]


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