There are 10 capacitors. each of capacitance `10 mu`F. The ratio of maximum to minimum capacitance obtained by their combination is ......

Options

A. `5:1`
B. `10 :1`
C. `50 :1`
D. `100 :1`

Answer

A

Explanation

Since in parallel connection, maximum capacitance `C_(1)` is obtained.
`C_(1) = nC = 10xx10= 100 muF `
In series connection, minimum capacitance `C_(2)` is obtained.
`C_(2) = (C)/(n) = (10)/(10)= 1 mu F `
`:. (C_(1))/(C_(2))= (100)/(1) = 100 :1`