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Find the equivalent capacitance of the c...

Find the equivalent capacitance of the circuit between point `A` and `B`.

Text Solution

Verified by Experts

The correct Answer is:
`C`
From symmetry `P.D.` across each capacitor of capacity `C` is zero.
`(1)/(C_(eq)) = (1)/(C ) +(1)/(2C) +(1)/(4C) +(1)/(8C) +…`
`(1)/(C_(eq)) = (1)/(C ) xx (1)/(1-(1)/(2)) rArr C_(eq) = (C )/(2)`

`C_(AB) = 2C_(eq) rArr C_(AB) = C`
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