JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Grouping of Capacitors

  • question_answer
    The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that                [EAMCET 1994]

    A)                    Their capacities are equal

    B)                    Their capacities are \[1\mu F\]and \[2\mu F\]

    C)                    Their capacities are \[0.5\mu F\] and \[1\mu F\]

    D)                    Their capacities are infinite

    Correct Answer: A

    Solution :

                       \[{{C}_{p}}=4{{C}_{s}}\] Þ \[({{C}_{1}}+{{C}_{2}})=4\frac{{{C}_{1}}{{C}_{2}}}{({{C}_{1}}+{{C}_{2}})}\]                    Þ \[{{({{C}_{1}}-{{C}_{2}})}^{2}}=0\]Þ \[{{C}_{1}}={{C}_{2}}\]


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