A long, straight wire that has a radius of is coated with

Chapter , Problem 75

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A long, straight wire that has a radius of is coated with an insulating ferromagnetic material that has a thickness of and a relative magnetic permeability of 400. The coated wire is in air and the wire itself is nonmagnetic. The wire carries a current of (a) Find the magnetic field in the region occupied by the inside of the wire as a function of the perpendicular distance, from the central axis of the wire. (b) Find the magnetic field in the region occupied by the inside of the ferromagnetic material as a function of the perpendicular distance, from the central axis of the wire. (c) Find the magnetic field in the region surrounding the wire and coating as a function of the perpendicular distance, from the central axis of the wire. (d) What must the magnitudes and directions of the amperian currents be on the surfaces of the ferromagnetic material to account for the magnetic fields observed?

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