Two capacitors of equal capacities when connected in series have some resultant capacity. Then they are connected in parallel. The resultant capacity of parallel combination is

Options

A. same as the series capacity
B. two times of the series capacity
C. three times of the series capacity
D. four times of the series capacity

Answer

D

Explanation

`C_(1)=C_(2)=C," "C_(p)=?`
`C_(p)=C_(1)+C_(2)=C+C=2C`
`"Now"" "C_(s)=C/2`
`therefore" "C_(p)/C_(s)=(2C)/(C//2)=4`
`C_(p)=4C_(s)`