The derivation of vector potential from tables for scalar potential

IN ELECTROMAGNETIC theory two quantities, scalar potential V and vector potential A, are commonly used and from them the electric and magnetic fields can be derived. The author recently published tables of Green's Functions1 for the solution of partial differential equations in rectangular co-ordinates. The Green's Functions as given in those tables only include scalar potentials. However, in dealing with problems involving fields due to currents or permanent magnets vector potentials are used. These also can be derived from the tables of Green's Functions when required. Since this was not included in the tables on account of their length, it will be covered here.