Magnetic Field and Vector Potential: Relation with Current, Galvanometer, and Maxwell's Equations

This lecture explores the relationship between the magnetic field and the vector potential, discussing the analogy between dipole moments in electrostatics and magnetism. The instructor explains the concept of a galvanometer for measuring current strength and polarity. The lecture delves into the construction of the vector potential function for the magnetic field, emphasizing its usefulness in certain scenarios. The instructor demonstrates how the vector potential can be used to derive Maxwell's equations in magnetostatics, highlighting the connection between the current density and the magnetic field. The lecture concludes with a summary of Chapter 4, emphasizing the interplay between current, vector potential, and magnetic field in electromagnetic theory.