Two long parallel wires carry currents `i_(1)` and `i_(2)` such that `i_(1) gt i_(2)`. When the currents are in the same direction, the magnetic field at a point midway between the wires is `6xx10^(-6)T`. If the direction of `i_(2)` is reversed, the field becomes `3xx10^(-5)T`. The ratio `(i_(1))/(i_(2))` is

Options

A. `1//2`
B. 2
C. `2//3`
D. `3//2`

Answer

D

Explanation

`(B_(1))/(B_(2))=((mu_(0))/(2pi)(i_(1)/(d)-(i_(2))/(d)))/((mu_(0))/(2pi)((i_(1))/(d)+(i_(2))/(d)))`