VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    The energy stored in the capacitor as shown in Fig. [a] is \[\text{4}\text{.5}\times \text{1}{{\text{0}}^{\text{-6}}}\text{J}\]. If the battery is replaced by another capacitor of 900 pF as shown in Fig. [b], then the total energy of system is   

    A)  \[4.5\times {{10}^{-6}}J\]

    B)  \[\text{2}\text{.25}\times \text{1}{{\text{0}}^{\text{-6}}}\text{J}\]

    C)  zero          

    D)  \[\text{9}\times \text{1}{{\text{0}}^{\text{-6}}}\text{J}\]  

    Correct Answer: B

    Solution :

    Energy stored in the capacitor in Fig \[\frac{1}{2}\frac{{{Q}^{2}}}{C}=4.5\times {{10}^{-6}}J\] If battery in Fig.  is replaced by capacitor in Fig. , total energy stored \[=\frac{1}{2}\left( \frac{1}{2}\frac{{{Q}^{2}}}{C} \right)\] \[=\frac{1}{2}\times 4.5\times {{10}^{-6}}\] \[=2.25\times {{10}^{-6}}J\]


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