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Magnetic field due to current carrying conductors

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Figure shows, in cross section, four thin wires that are parallel, straight, and very long. They carry identical currents, in the directions indicated. Initially all four wires are at distance d = 17.5 cm from the origin of the coordinate system, where they create a net magnetic field B.

(a) To what value of x must you move wire 1 along the x axis in order to rotate B counterclockwise by 32°?

(b) With wire 1 in that new position, to what value of x must you move wire 3 along the x axis to rotate B by 32° back to its initial orientation?

(Please see attachment for fig.)

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The expert examines magnetic field due to current carrying conductors. Coordinate systems to create a net magnetic field is determined.

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