Three long straight conductors are arranged parallel to each other in the same plane and carryin currents of `1A,2A` and` 3A` all in the same direction. The distance betweent eh first two conductros is `"x"` and the distance between the second and third conductors`"y"`. If the middle conductor is in equilibrium, the ratio `x:y` is

Options

A. `1:3`
B. `3:1`
C. `1:sqrt(3)`
D. `sqrt(3):1`

Answer

A

Explanation

Force pr uinit length between two current carrying parallel wire is given by :
`F=(mu_(0)i_(1)I_(2))/(2pir)` &
`f_(12)+f_(23)=0`
`(mu_(0)1xx2)/(2pix)=(mu_(0)2xx3)/(2piy)`
`x/y=1/3`