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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    The capacitance of a parallel plate capacitor is \[12\,\mu \,F\]. If the distance between the plates is doubled and area is halved, then new capacitance will be                                                                  [MH CET 2002]

    A)            \[8\,\mu \,F\]                      

    B)            \[6\,\mu \,F\]

    C)            \[4\,\mu \,F\]                      

    D)            \[3\,\mu \,F\]

    Correct Answer: D

    Solution :

               \[C=\frac{{{\varepsilon }_{0}}A}{d}\] As A ® \[\frac{1}{2}\]times and d ® 2 times So \[C\to \frac{1}{4}\]times i.e. \[{C}'=\frac{1}{4}C=\frac{12}{4}=3\,\mu F\]


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