It has been shown in a previous paper by Konopinski that there are important advantages, particularly to the engineer, in an electro-magnetic theory in which the properties, which are customarily associated with the fields, are assigned instead to the source charges, and measured by the potentials. These properties include stored energy and energy flow. The objective of the paper is to reformulate Poynting's theorem in charge-potential terms, and it is shown that the energy flow vector which is obtained simplifies the quantitative description of electromagnetic power transfer. It is closely related to the circuit concepts familiar to all electrical engineers, and, unlike the Poynting vector, is equally useful in communications and in power-frequency applications. It demonstrates the fundamental importance of electrostatic forces in all electromagnetic devices. The paper also shows that practical difficulties in applying field theory, and, in particular, the Poynting vector, have led to the use of hybrids in which two wholly different viewpoints are mixed.