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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be         [KCET 2001]

    A)            \[\frac{C}{2}\]                     

    B)            \[\frac{3C}{4}\]

    C)            \[4C\]                                      

    D)            \[2C\]

    Correct Answer: D

    Solution :

               \[C=\frac{{{\varepsilon }_{0}}A}{d}\] and \[C'=\frac{{{\varepsilon }_{0}}A}{\left\{ d-\frac{d}{2}+\frac{(d/2)}{\infty } \right\}}=\frac{2{{\varepsilon }_{0}}A}{d}\] Þ \[C'=2C\]


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