Question #1) 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

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Chapter11: Magnetic Forces And Fields
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Question #1) 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 = 0.21 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, numerical value of the enclosed current, in amperes?

 

C) For what r, in meters, is the magnetic field maximized?

 

r0,B =

 

D). What is the maximum value of the magnetic field in Tesla?

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