Three current-carrying wires 2

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

4:9:1 14:5:1 2:5:1 14:15:1

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