Problem $6$

In the cylindrical region $0\mathrm{.}6mm,H_{}=\frac{2}{}+\frac{}{2}\frac{A}{m},$ while $H_{}=\frac{3}{}\frac{A}{m}$ for $>0\mathrm{.}6mm.($a$)$ Determine vec$(J)$ for b$)$ Determine vec$(J)$ for $>0\mathrm{.}6mm.($c$)$ Is there a filamentary current at $=0?$ If so$,$ what is its value? $($d$)$ What is vec$(J)$ at $=0?$

Answer: $($a$)1$hat$(a{)}_z\frac{A}{m^2}$