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Question

# Find the equivalent capacitance between A and B. All the capacitors have capacitance C.

A
7C8
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B
7C4
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C
9C2
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D
9C4
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Solution

## The correct option is A 7C8Circuit diagram can be redrawn asThis circuit is symmetrical about perpendicular bisector of AB. Hence, point X and point Yare at same potential. Between 1and(X,Y)2CandCare parallel. So, their equivalent =2C+C=3C Similar case in the right part of the circuit, Cand3C are in series, so their equivalent = C×3CC+3C= 3C4 Now, Now, 3C4 and C are in parallel. So, their equivalent capacitance =3C4+C=7C4 Both are in series. So equivalent capacitance, Ceq=7C4×7C47C4 +7C4=7C8

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