A non-ohmic material is shaped into a solid right-circular cylinder (length L, outer radius R]
and a potential difference V is applied to the ends of the cylinder. The current density J
varies as a function of radial distance from the center of the wire: J = Jor-3/2.
— Derive an expression for the magnetic field created by the current in the wire for all
values of r >0.
The current density is not constant, and it varies according to that J = J(o) r^(-3/2). The question was posted in its entirety. I hope that helps.