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

  • question_answer
    Three capacitors of \[2.0,\ 3.0\] and \[6.0\ \mu F\] are connected in series to a \[10V\] source. The charge on the \[3.0\mu F\] capacitor is                                                                               [MP PMT 1996; RPMT 1999; Pb. PMT 2001]

    A)                    \[5\mu C\]

    B)                                      \[10\mu C\]

    C)                    \[12\mu C\]                  

    D)            \[15\mu C\]

    Correct Answer: B

    Solution :

               Net capacitance\[=\frac{1}{\left( \frac{1}{2}+\frac{1}{3}+\frac{1}{6} \right)}=1\,\mu F\]                    Total charge \[=CV=1\,\mu F\times 10\,V=10\,\mu C\] Total charge on every capacitor in series system is same. So charge on 3 mF is 10 mC.


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