A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross section of the conductor but is a function of the radius according to J = 4br2, where b is a constant.   a) r1 < R

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Chapter1: Units, Trigonometry. And Vectors
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A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross section of the conductor but is a function of the radius according to J = 4br2, where b is a constant.

 

a) r1 < R

 

Note: See image for the original question and figure. I just need help with part a, not part b.

A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the
conductor but is a function of the radius according to J = 4br2, where b is a constant.
Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: Ho rur, b, R.)
(a) r, < R
B =
(b) r2 > R
B =
Transcribed Image Text:A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = 4br2, where b is a constant. Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: Ho rur, b, R.) (a) r, < R B = (b) r2 > R B =
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