If the potential difference between A and D is V, what will be potential difference between F and C. each of the resistance is R.

Options

A. `V//3`
B. `V//4`
C. `V//6`
D. `V//8`

Answer

B

Explanation

`V = I R_(eq) = I =(4R)/(3)`
or `I = (3V)/(4R)`
`V_(1) = V_(A) =V_(F) = I(R )/(2)`
`V_(2) = V_(A) -V_(C ) =I((R )/(2) +(R )/(3)) = (5)/(6)IR`
`V_(2) -V_(1) =V_(F) V_(C ) = IR((5)/(6) -(1)/(2)) = (IR)/(3)`
`V_(F) - V_(C ) = (IR)/(3) = ((4IR)/(3))(1)/(4) =(V)/(4)`