Problem 3 A static H-field is produced by the cylindrically symmetric current distribution J= iz Jo [1 - (r / a) ] forr/ a 1, where Jo and a are constants and / is the radial component in a cylindrical coordinate system. (a) Show that H is o-directed and find H everywhere from the integral laws for all r. Use symmetry considerations. Sketch J, and Ho versus r. (b) Find the magnetic field everywhere using the differential laws and symmetry. Compare the answer with Part (a). Follow these steps: (1) Write the differential equation for r / a 1. (4) Determine the integration constant using the continuity of H-field