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The differeence in the effective capaci...

The differeence in the effective capacity of two similar capacitor when joined in series and then in paralllel is 6 `mu` F the capacity of each capacitor is

A

`2 mu F`

B

`4 mu F`

C

`8 mu F`

D

`16 mu F`

Text Solution

Verified by Experts

The correct Answer is:
a

When two similar capactors are joined in series then effective capacity is
`(1)/(C_(s))=(1)/(c )+(1)/(C )+(1)/(C )=(2)/(C )`
`therefore C_(s)=(C )/(2)`
when capacitors are joined in parallel then `C_(p)=C+C=2C`
since `C_(p)-C_(s)=6 mu f`
`therefore 2c-(C )/(2)=6 rarr 4C-c =12`
or C=4 muF`
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