Two infinite line currents 12 and 12 lie in the xz plane separated by a distance...

  

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Two infinite line currents 1₁2 and 1₂2 lie in the xz plane separated by a distance d. a. Derive an expression for the force per unit length between the currents. b. Now if you had three infinite line currents parallel to the z axis, how would you arrange them such that the net force on each current from the other two currents is zero (i.e. such that all three currents are in equilibrium)? What ratio between currents would be required? Two infinite line currents 1₁2 and 1₂2 lie in the xz plane separated by a distance d. a. Derive an expression for the force per unit length between the currents. b. Now if you had three infinite line currents parallel to the z axis, how would you arrange them such that the net force on each current from the other two currents is zero (i.e. such that all three currents are in equilibrium)? What ratio between currents would be required?