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

  • question_answer
    Three capacitors of capacitance \[3\mu \,F,\,10\mu \,F\,\] and \[15\mu \,F\,\] are connected in series to a voltage source of 100V. The charge on \[15\mu \,F\,\]is [Pb. PMT 1999; AIIMS 2000; CPMT 2001]

    A)            \[50\,\mu \,C\]                   

    B)            \[100\,\mu \,C\]

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

    D)            \[280\,\mu \,C\]

    Correct Answer: C

    Solution :

                       \[\frac{1}{{{C}_{eq}}}=\frac{1}{3}+\frac{1}{10}+\frac{1}{15}\Rightarrow {{C}_{eq}}=2\mu F\]                    Charge on each capacitor            \[Q={{C}_{\text{eq}}}\times V\]\[\Rightarrow 2\times 100=200\mu C\]


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