J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    Two identical capacitors are first connected in series and then in parallel. The ratio of equivalent capacitance is

    A)  \[1:1\]    

    B)  \[1:2\]

    C)  \[1:3\]   

    D)  \[1:4\]

    Correct Answer: D

    Solution :

    Capacitor in series \[\frac{1}{{{C}_{s}}}=\frac{1}{C}+\frac{1}{C}=\frac{2}{C}\] \[\Rightarrow \] \[{{C}_{s}}=\frac{C}{2}\] Capacitor in parallel \[{{C}_{p}}=C+C=2C\] \[\therefore \]\[\frac{{{C}_{g}}}{{{C}_{p}}}=\frac{C}{2\times 2C}=\frac{1}{4}\]


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