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?
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The expert examines magnetic field due to current carrying conductors. Coordinate systems to create a net magnetic field is determined.
Magnetic Field Due to a Current Carrying Conductor
1. A long hollow, cylindrical conductor (inner radius 2.4 mm, outer radius 4.1mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 36A in the opposite direction. What is the magnitude of the magnetic field (in mT) (a) 1.3mm (b) 2.5mm (c) 4.9 mm from the central axis of the wire and cylinder?
2. A long straight wire carries a current of 69.6A. An electron, traveling at 8.61 x 10^7 m/s, is 5.14 cm from the wire. What is the magnitude of the magnetic force on the electron if the electron velocity is directed (a) toward the wire, (B) parallel to the wire in the direction of the current, and (c) perpendicular to the two directions defined by (a) and (b)?View Full Posting Details