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Question

# Find the equivalent capacitance across A and B for the arrangement shown in figure. All the capacitors are of capacitance C :

A
3C14
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B
C8
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C
3C16
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D
none of these
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Solution

## The correct option is A 3C14Here three capacitors will not working because they are short in the circuit and the corresponding circuit is shown in figure.The equivalent capacitance on right parallel branch is Ceq=CCC+C+C=(3/2)C.Now all the capacitors are in series so equivalent capacitance across A and B is CAB=(1/C+1/C+1/C+2/3C+1/C)−1=(4/C+2/3C)−1=(14/3C)−1=3C/14

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