J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    Two capacitors each of capacity \[2\mu F\] are connected in parallel. If they are connected to \[100\text{ }V\]battery, then energy stored in them is

    A)  \[0.02\text{ }J\]        

    B)  \[0.04\text{ }J\]

    C)  \[0.01\text{ }J\]        

    D)  \[200\text{ }J\]

    Correct Answer: A

    Solution :

    The energy stored is given by \[E=\frac{1}{2}C{{V}^{2}}\] When capacitors are connected in parallel, resultant capacitance is \[C'={{C}_{1}}+{{C}_{2}}=2\mu F+2\mu F=4\mu F,\,\,V=100\,volt\] \[\therefore \] \[E=\frac{1}{2}\times 4\times {{10}^{-6}}\times {{(100)}^{2}}\] \[E=0.02\,J\]


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