This lecture delves into the development of the potential function of a dipole moment, explaining the concept of two charges separated in space and how to calculate the potential at a point far away. The instructor demonstrates the superposition principle and the importance of the distance vector in determining the non-zero potential. Through detailed derivations and approximations, the lecture simplifies the expression for the potential of a dipole moment at a point, emphasizing the impact of charge separation and distance on the potential. The lecture concludes by presenting the compact form of the dipole moment potential and analyzing different scenarios based on the angle between the vectors, providing insights into the spatial dependence of the potential function.