Just as scalar potential theory can be applied to magnetostatic field,
where vector potential theory is the dominating theory, so may vector
potential theory be used in steady current field computations, domina
ted by scalar potential theory. The introduction of vector potential t
heory simplifies the computation of spontaneous potential (SP) and bri
ngs about the innovation of concept. Finite element method is applied
to the computation based upon both vector potential theory and scalar
potential theory. Their results agree very well with each other. SP co
rrection charts computed on vector potential agree with existing ones.