Two long parallel wires separated by 0.1 m carry currents of 1A and 2A respectively in opposite directions. A third current-carrying wire parallel to both of them is placed in the same plane such that it feels no net magnetic force. It is placed at a distance of

Options

A. 0.5 m from the 1st wire, towards the 2nd wire
B. 0.2 m from the 1st wire, towards the 2nd wire
C. 0.1 m from the 1st wire, away from the 2nd wire
D. 0.2 m from the 1st wire, away from the 2nd wire

Explanation

Let the 3rd wire be at a distance x from the first wire

Since, `B_(1)=B_(2)or,(2i_(1))/(x)=(2i_(2))/((0.1+x))or,x=0.1m `