JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2005

  • question_answer
        If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to:

    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 \[=\frac{1}{2}{{C}_{net}}{{V}^{2}}\]where V is source voltage Thus, n capacitors are connected in parallel. Therefore,   \[{{C}_{net}}=nC\] \[\therefore \]  \[{{E}_{net}}=\frac{1}{2}nC{{V}^{2}}\]


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