JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to AIEEE  Solved  Paper-2002

    A) CV  

    B)                           \[\frac{1}{2}nC{{V}^{2}}\]               

    C)           \[C{{V}^{2}}\]                      

    D)           \[\frac{1}{2n}C{{V}^{2}}\]

    Correct Answer: B

    Solution :

    Energy stored by any system of capacitors is              \[=\frac{1}{2}{{C}_{eq}}{{V}^{2}}\]              where, V is source voltage.              Thus, n capacitors are connected in parallel.              So,                             \[{{C}_{eq}}=nC\]              \[\therefore \]                     \[{{E}_{eq}}=\frac{1}{2}nC{{V}^{2}}\]


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