1. The problem statement, all variables and given/known data 2. Relevant equations int[H*dl] = I fenc ∇×H = cr^2 [Khat] ∇×H = Jf 3. The attempt at a solution The textbook I have been assigned (griffiths) only deals with currents that are uniformly distributed and I'm not sure how to go about calculating the free enclosed current for the problem. If I knew how to do that, this problem would be very easy. Using an amperian loop that extends the radius of the cylinder ∫(closed)H*dl = I fenc |H|[2*pi*s] = I fenc H = I fenc / [2*pi*s] [phi hat direction] Then I would use the cross product ∇×H = Jf in order to calculate Jf, sub in Jf = cr^2 and then solve for c, thus solving part a. I'm just not sure about how to calculate the free enclosed current. if anyone knows the proper formula for this problem I would be grateful to see it.