Calculate a function of radial distance from the wire

Question

Assignment:

Problem 1: A straight wire (oriented along the z-axis) with a radius a caries inhomogeneous current density Jˆ(r) = zˆj_oa/r. find the magnetic field (magnitude and direction) generated by the current as a function of the radial distance. Plot your result.

Problem 2: A straight wire (oriented along the y-axis) caries homogeneous current Iˆ(y) = yˆI_o . Find the magnetic field (magnitude and direction) generated by the current at y = 0 and as a function of the radial distance from the wire. Hint: You may need to use the following integral ∫dx/(x²+r²)^3/2 = x/r²√x²+r²