Problem 7: The figure above on the left shows, in cross section, four thin wires that are parallel, straight, and very long. They carry identical currents I in the directions indicated. Initially all four wires are at distance d from the origin of the coordinate system. (a) What is the magnetic field in the origin? Answer: B = î. (b) To what distance z from the origin, along the r-axis, must you move wire 1 in order to have the magnetic field in the origin make an angle of 30° above the r-axis. Answer: r = V3+2

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Transcribed Image Text:04 d d 3 02
Problem 7: The figure above on the left shows, in cross section, four thin wires that are parallel, straight,
and very long. They carry identical currents I in the directions indicated. Initially all four wires are
at distance d from the origin of the coordinate system. (a) What is the magnetic field in the origin?
Answer: B = . (b) To what distance r from the origin, along the x-axis, must you move wire 1
in order to have the magnetic field in the origin make an angle of 30° above the r-axis. Answer: =
x = d
V3+2
Transcribed Image Text:Problem 7: The figure above on the left shows, in cross section, four thin wires that are parallel, straight, and very long. They carry identical currents I in the directions indicated. Initially all four wires are at distance d from the origin of the coordinate system. (a) What is the magnetic field in the origin? Answer: B = . (b) To what distance r from the origin, along the x-axis, must you move wire 1 in order to have the magnetic field in the origin make an angle of 30° above the r-axis. Answer: = x = d V3+2
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