A uniform current density given by J = zj0 (A/m2) Gives rise to a vector magnetic potential

Question:

A uniform current density given by
J = zj0 (A/m2)
Gives rise to a vector magnetic potential

(a) Apply the vector Poisson€™s equation to confirm the above statement.
(b) Use the expression for A to find H.
(c) Use the expression for J in conjunction with Ampere€™s law to find H. Compare your result with that obtained in part (b).