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

  • question_answer
    A \[10\mu F\] capacitor is charged to a potential difference of \[50\ V\]and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes \[20\ volt\]. The capacitance of second capacitor is                                                                       [MP PET 1999; DPMT 2000]

    A)                    \[10\mu F\]

    B)                                      \[20\mu F\]

    C)                    \[30\mu F\]

    D)                                      \[15\mu F\]

    Correct Answer: D

    Solution :

               \[V=\frac{{{C}_{1}}{{V}_{1}}+{{C}_{2}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] Þ \[20=\frac{10\times 50+{{C}_{2}}\times 0}{10+{{C}_{2}}}\]                    Þ \[200+20{{C}_{2}}=500\] Þ \[{{C}_{2}}=15\,\mu F\]


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