What is the equivalent capacitance between `A` and `B` in the given figure (all are in farad )?

Options

A. `(13)/(18)F`
B. `(48)/(13)F`
C. `(1)/(31)F`
D. `(240)/(71)F`

Answer

D

Explanation

The given circuit can be simplified as follows :
Hence equivalent capacitance between `A` and `B`
`(1)/(C_(AB)) = (1)/(12) + (1)/(20//3) + (1)/(16) rArr C_(AB) = (240)/(71)F`