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Three capacitors of capacitances 3 muF, ...

Three capacitors of capacitances `3 muF, 9muF` and `18 muF` are connected one in series and another time in parallel. The ratio of equivalent capacitance in the two cases `((C_(s))/(C_(p)))` will be

A

`1:15`

B

`15:1`

C

`1:1`

D

`1:3`

Text Solution

Verified by Experts

The correct Answer is:
A
`1/C_s =1/3 +1/9 +1/18 = (6+2+1)/18 =1/2`
`implies C_s = 2muF`
`C_p = C_1 +C_2+C_3 = 30 muF`
`C_s/C_p=1/15`
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