The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that

Options

A. Their capacities are equal
B. Their capacities are `1 muF` and `2 muF`
C. Their capacities are `0.5 muF` and `1 muF`
D. Their capacities are infinite

Answer

A

Explanation

`C_(p) = 4C_(s) rArr (C_(1) + C_(2)) = 4 (C_(1)C_(2))/((C_(1) + C_(2)))`
`rArr (C_(1) - C_(2))^(2) = 0 rArr C_(1) = C_(2)`