What is the equivalent between `A` and `B` in the circuit shown ?

Options

A. `6 mu F`
B. `1.5 mu F`
C. zero
D. `2 mu F`

Answer

D

Explanation

(d) Consider the shown circuit.
current through resistors
`I = (epsilon)/(6)`
`:. V_(A) - V_(C ) = 2 xx (epsilon)/(6) = (epsilon)/(3)`
`V_(A) - V_(B) = (epsilon)/(3)`
From equation (i) and (ii)
`impliesV_(C ) = V_(B)`
`:.` if `6 mu F` is connected through `B` and `C` it will be short circuited.
So net capacitance `= (6 xx 3)/(6 + 3) = 2 mu F`