(Solved): 2. (35pts.) Consider the long hollow cylinder shown in the figure (cross section). (a) Find the ma ...

2. (35pts.) Consider the long hollow cylinder shown in the figure (cross section). (a) Find the magnetic field in every region of space if the total current \( I \) flowing through the cylinder is uniformly distributed over its cross sectional area and flows out of the page. Do not forget to specify the direction (b) Find the magnetic field in every region of space if the current density is given by \( \vec{J}(r)=-J_{0}(a / r)^{2} \hat{k} \). (c) For the situation in part (b), what is the value of \( J_{0} \) if the net current flowing through is \( I \) ?