JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Mock Test - Capacitance

  • question_answer
    Three plates of common surface area \[A\] are connected as shown. The effective capacitance will be

    A) \[\frac{{{\varepsilon }_{0}}A}{d}\]                    

    B) \[\frac{3{{\varepsilon }_{0}}A}{d}\]

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

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

    Correct Answer: D

    Solution :

    [d] The given circuit is equivalent to parallel combination of two identical capacitors, each having compacitane. \[C=\frac{{{\varepsilon }_{0}}A}{d}.\]Hence \[{{C}_{eq}}=2C=\frac{2{{\varepsilon }_{0}}A}{d}\]


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