J & K CET Engineering J and K - CET Engineering Solved Paper-2009

  • question_answer
    Energy stored per unit volume of a parallel plate capacitor having plate area A and plate separation d when charged to a potential of V volts is (air space in between the plates)

    A)  \[\frac{1}{2}{{C}^{2}}{{V}^{2}}\]

    B)  \[\frac{{{q}^{2}}}{4\,C}\]

    C)  \[\frac{1}{2}{{E}_{0}}\left( \frac{V}{d} \right)\]

    D)  \[\frac{1}{2}{{E}_{0}}\left( \frac{{{V}^{2}}}{{{d}^{2}}} \right)\]

    Correct Answer: D

    Solution :

    Energy density between the plates of a parallel plate capacitor. Energy density \[=\frac{energy}{volume}=\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}=\frac{1}{2}{{\varepsilon }_{0}}\frac{{{V}^{2}}}{{{d}^{2}}}\]


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