Recall that for a thin current-carrying loop we have \begin{eqnarray*} \AA(\rr) = {\mu_0\over 4\pi} \int {\II(\rrp)\,ds'\over|\rr-\rrp|} \end{eqnarray*} Find an expression for the magnetic vector potential for a spinning circular ring with radius $R$, charge $Q$, and period $T$. The expression should be valid everywhere in space and simplified enough that it could be evaluated by a computer algebra programs such as Mathematica or Maple.