j(r)= see image for radius r in the range 0 < r < R. Here, j0 is a constant with units amperes per square meter, and the radius of the wire is R = 0.49 mm. A) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. B) Find an expression for the magnetic field outside of the wire, for r > R. C) For what r, in meters, is the current enclosed maximum? D) What is the maximum value of the enclosed current, in amperes? E) For what r, in meters, is the magnetic field maximized? F) What is the maximum value of the magnetic field, in tesla?
A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as
j(r)= see image
for radius r in the range 0 < r < R. Here, j0 is a constant with units amperes per square meter, and the radius of the wire is R = 0.49 mm.
A) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I.
B) Find an expression for the magnetic field outside of the wire, for r > R.
C) For what r, in meters, is the current enclosed maximum?
D) What is the maximum value of the enclosed current, in amperes?
E) For what r, in meters, is the magnetic field maximized?
F) What is the maximum value of the magnetic field, in tesla?
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