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Three capacitors each of capacitance C a...

Three capacitors each of capacitance C are connected in series. Their equivalent capacitance is `C_(s)`. The same three capacitors are now connected in parallel. Their equivalent capacitance becomes `C_(p)`. Find the ratio `((C_(p))/(C_(s)))`
(Working must be shown).

A

`9:1`

B

`1:9`

C

`3:1`

D

`1:3`

Text Solution

Verified by Experts

The correct Answer is:
A
`9:1`
Explanation : When three capacitors connected in series ,
`1/(C_(s))=1/C+1/C+1/C=3/C`
`1/(C_(s))=1/C+1/C+1/C=3/C`
Now same three capacitors are connected in parallel
` :. " " C_(p)=C+C+C=3C`
`(C_(p))/(C_(s))=(3C)/(C//3)=9:1`
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