Two identical capacitors are first connected in series and then in parallel. The difference between their effective capacities is `3muF`. The capacity of each capacitor is

Options

A. `3muF`
B. `4muE`
C. `2muF`
D. `5muE`

Answer

C

Explanation

Let C be the capacity of each capacitor. When they are joined in parallel `C_(P)=C+C=2C`
and in series, `(1)/(C_(S))=(1)/(C)+(1)/(C)=(2)/(C)" "therefore C_(S)=(C)/(2)`
`therefore 2C-(C)/(2)=3muF` given
`therefore (3C)/(2)=3" "therefore C=2muF`