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

  • question_answer
    Two capacitors of \[10\,\mu \,F\] and \[20\,\mu \,F\] are connected in series with a 30V battery. The charge on the capacitors will be, respectively                      [AMU (Engg.) 2001]

    A)            100\[\mu \,C\], 200\[\mu \,C\]

    B)                                      200\[\mu \,C\], 100 \[\mu \,C\]

    C)            100\[\mu \,C\], 100\[\mu \,C\]                                       

    D)            200\[\mu \,C\], 200\[\mu \,C\]

    Correct Answer: D

    Solution :

               In series combination of capacitor charge on each capacitor is same \[{{Q}_{1}}={{Q}_{2}}=Q={{C}_{eq}}V\]                    \[{{C}_{eq}}V=\left( \frac{10\times 20}{10+20} \right)\times 30\]\[=\frac{200}{30}\times 30=200\,\mu C\]


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