`A, B` and `C` are parallel conductors of equal length carrying currents `I, I` and `2I` respectively. Distance between `A` and `B` is `x`. Distance between `B` and `C` is also `x`. `F_(1)` is the force exerted by `B` on `A` and `F_(2)` is the force exerted by `B` on `c`. Choose the correct answer

Options

A. `F_(1) = 2F_(2)`
B. `F_(2) = 2F_(1)`
C. `F_(1) = F_(2)`
D. `F_(1) = - F_(2)`

Answer

D

Explanation

`F_(1) = (mu_(0) I^(2))/(2pi x)` , (attraction ) , `F_(2) = (-mu_(0) 2I^(2))/(2pi .2x)` (Repulsion)
`F_(1) = -F_(2)`