J & K CET Medical J & K - CET Medical Solved Paper-2008

  • question_answer
    Four capacitors are connected in a circuit as shown in the following figure. Calculate the effective capacitance between the points A and B.

    A) \[\frac{4}{3}\mu F\]                                       

    B) \[\frac{24}{5}\mu F\]

    C) \[9\mu F\]                                         

    D) \[5\mu F\]

    Correct Answer: A

    Solution :

                     Effective capacitance of\[{{C}_{2}}\]and\[{{C}_{3}}\] \[\frac{1}{C}=\frac{1}{2}+\frac{1}{2}\] \[\Rightarrow \]               \[C=1\mu F\] Now,\[C\]and\[{{C}_{4}}\]are in parallel, therefore effective capacitance\[C\]                 \[C=1+1=2\mu F\] Now,\[C\]and\[{{C}_{4}}\]are in series, therefore, effective capacitance between points A and B                 \[\frac{1}{C}=\frac{1}{2}+\frac{1}{4}=\frac{3}{4}\] \[\Rightarrow \]               \[C=\frac{4}{3}\mu F\]


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