JCECE Engineering JCECE Engineering Solved Paper-2006

  • question_answer
    The two capacitors \[{{C}_{1}}\]and\[{{C}_{2}}\]are charged to potentials \[{{V}_{1}}\] and \[{{V}_{2}}\] then connected in parallel. There will be no flow of energy, if:

    A) \[{{C}_{1}}{{V}_{1}}={{C}_{2}}{{V}_{2}}\]                              

    B) \[{{V}_{1}}={{V}_{2}}\]

    C)  \[{{C}_{1}}={{C}_{2}}\]                 

    D)  \[\frac{{{C}_{1}}}{{{V}_{1}}}=\frac{{{C}_{2}}}{{{V}_{2}}}\]

    Correct Answer: B

    Solution :

    When a conductor of capacitance C is charged, it acquires a potential                 \[V=\frac{q}{C}\] When connected in parallel, equivalent capacitance of combination is                 \[C'={{C}_{1}}+{{C}_{2}}\] Also, energy flow \[\left( E=\frac{1}{2}C'{{V}^{2}} \right)\] will not take place, if potential across capacitors is same.


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