Question

There are three neutral wires that carries a current each(Ix, Iy, Iz), they are all perpendicular...

There are three neutral wires that carries a current each(Ix, Iy, Iz), they are all perpendicular to each other on the x, y, z plane. The currents are flowing from -∞ to +∞ in the positive directions in all three of them.

1. Consider the magnetic field that is very far from the origin of these wires. If we two times it's distance to the origin along the diagonal line( x = y = z), by what factor has the field decreased?

2. at (1,1,0) what is the magnetic field?

3. What is the force caused by the wire in the x direction on the other two wires? Sketch to show the direction and relative magnitude, no need any calculation.

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