A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)=j0(1-(r/R)2), 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 = 0.27 mm. A. Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. B(r) = B. 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)=j0(1-(r/R)2), 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 = 0.27 mm. A. Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. B(r) = B. What is the maximum value of the magnetic field, in tesla?
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A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as
j(r)=j0(1-(r/R)2),
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 = 0.27 mm.
A.
| Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. | |||
B. What is the maximum value of the magnetic field, in tesla? |
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