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

  • question_answer
    A capacitor of \[20\mu F\] is charged to \[500\ volts\] and connected in parallel with another capacitor of \[10\mu F\] and charged to \[200\ volts\]. The common potential is [BHU 1997; CBSE PMT 2000; MH CET 1999; BHU 2004]

    A)                    \[200\ volts\]

    B)                                      \[300\ volts\]

    C)                    \[\text{400 }volts\]    

    D)            \[\text{500 }volts\]

    Correct Answer: C

    Solution :

               \[V=\frac{{{V}_{1}}{{C}_{1}}+{{V}_{2}}{{C}_{2}}}{{{C}_{1}}+{{C}_{2}}}\]\[=\frac{500\times 20+200\times 10}{20+10}=400\,V\]


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