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N identical capacitors each " of capacit...

N identical capacitors each " of capacitances "C" when connected in parallel gives effective capacitance `90 mu F` and when connected in series gives `5mu F`.The value of "N" and "C" approximately are

A

`6 and 15 muF`

B

`6 and 18 muF`

C

`15 and 6 muF`

D

`18 and 5 muF`

Text Solution

Verified by Experts

The correct Answer is:
A
`C_S=C/n =2.5 implies C=2.5 n`
`C_p = nC = 90 implies C = 90/n`
`90/n = 2.5n, n^2 = (900)/25 =36`
`implies n = 6 and C = 15 muF`
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