CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    Two capacitors, one 4 pF and the other 6 pF, connected in parallel, are charged by a 100 V battery. The energy stored in the capacitors is:

    A)  \[1.2\times {{10}^{-8}}J\]    

    B)         \[2.4\times {{10}^{-8}}J\]           

    C)  \[5.0\,\times {{10}^{-8}}J\]        

    D)  \[1.2\times {{10}^{-6}}J\]

    E)  \[5.0\times {{10}^{-6}}J\]

    Correct Answer: C

    Solution :

    The energy stored in capacitor is given by \[E=\frac{1}{2}C{{V}^{2}}\] Resultant capacitance                 \[C={{C}_{1}}+{{C}_{2}}=4+6=10\,pF\] \[E=\frac{1}{2}\times 10\times {{10}^{-12}}\times {{(100)}^{2}}\]    \[(1\,pF={{10}^{-12}}F)\] \[=5\times {{10}^{-8}}J\]


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