Three current-carrying wires 2

As shown above, three infinitely long current-carrying wires L, M and N are fixed on the \(xy\)-plane, all parallel to the \(y\)-axis. The distances from the \(y\)-axis are \(2r\), \(r\) and \(r\), respectively. The intensities of the currents flowing in the wires L, M and N are \(2I\), \(2I\) and \(I\), respectively. The direction of the electric current in L is \(-y\) direction and the directions of the electric currents in M and N are both \(+y\) direction. Let \(F_L, F_M\) and \(F_N\) denote the sum of the magnetic forces acting on each of the segments (of the same length) of \(L,\) \(M\) and \(N,\) respectively. Then what is the ratio \(\lvert{F_L}\rvert:\lvert{F_M}\rvert:\lvert{F_N}\rvert?\)

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