Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    Equivalent capacitance between A and B for circuit shown in figure.

    A)  \[3\mu F\]                                        

    B)  \[2\text{ }\mu F\]

    C)  \[4\text{ }\mu F\]                                          

    D)  8 µF

    Correct Answer: C

    Solution :

    \[2\mu F\] and \[2\mu F\] capacitors are in parallel, \[\therefore \]  \[C'=2+2=4\mu F\] \[4\mu F\] and C' are in series \[\therefore \]  \[\frac{1}{C''}=\frac{1}{4}+\frac{1}{4}=\frac{2}{4}=\frac{1}{2}\]                 \[C''=2\mu F\] \[4\mu F\] and \[4\mu F\] capacitors are in series, \[\frac{1}{C'''}=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}\] \[\Rightarrow \] s\[C'''=2\mu F\] Now \[C'\,'\] and \[C'\,'\,'\] are in parallel \[\therefore \]  \[C=C'\,'+C'\,'\,'\]                 \[=2+2=4\mu F\]


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