CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    A parallel plate capacitor has plate of area A and separation d. It is charged to a potential difference\[{{V}_{0}}\]. charging battery is disconnected and the plates are pulled apart to three times the initial separation. The work required to separate the plates is:

    A)  \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{3d}\]    

    B)         \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{2d}\]    

    C)         \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{4d}\]    

    D)         \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{d}\]

    E)  \[\frac{{{\varepsilon }_{0}}AV_{0}^{2}}{4d}\]

    Correct Answer: D

    Solution :

    Work done in separating the plates = charge \[\times \] mean potential difference \[=Q\times {{V}_{0}}=C{{V}_{0}}\times {{V}_{0}}=\frac{{{\varepsilon }_{0}}A}{d}\times V_{0}^{2}\]


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