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?=?5br⁴, 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:?

?₀,?r₁,?r₂,?b,?R

.)

(a)?r₁?<?R

B=

(b)?r₂?>?R

B=