If `C_(S) and C_(P)` are the equivalent capacities of n identical condensers joined in series and in parallel respectively, then the ratio `(C_(P))/(C_(S))` is

Options

A. 1.`n`
B. 2. `n^(2)`
C. 3. `(1)/(n^(2))`
D. 4. `(n+1)/(n)`

Answer

B

Explanation

In parallel `c_(p)=nC`
In series `(1)/(C_(S))=(1)/(C)+ . . .+(1)/(C)=(n)/(C)`
`therefore C_(S)=(C)/(n)" "therefore (C_(p))/(C_(S))=nCxx(n)/(C)=n^(2)`