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Uttarakhand PMT Uttarakhand PMT Solved Paper-2008

  • question_answer
    A capacitor of capacitance C has charge Q and stored energy is W. If the charge is increased to 2Q, the stored energy will be

    A)  \[\frac{W}{4}\]            

    B)  \[\frac{W}{2}\]

    C)  \[2W\]             

    D)  \[4W\]

    Correct Answer: D

    Solution :

     From the formula, \[W=\frac{{{Q}^{2}}}{2C}\] ?.(i) \[W=\frac{{{(2Q)}^{2}}}{2C}\] \[(\because Q=2Q)\] \[\Rightarrow \] \[W=4\frac{{{Q}^{2}}}{2C}\]   \[\Rightarrow \] \[W=4W\]         [From (i)]


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