Ampère's Law and Applications

This lecture delves into the application of Ampère's law in magnetostatics, focusing on calculating magnetic fields from current-carrying wires. The instructor explains the process of using Ampère's law to determine the magnetic field around a wire, emphasizing the importance of symmetry analysis. Through examples and demonstrations, the lecture covers the integration of magnetic fields along closed paths, the concept of Ampèreian loops, and the differential form of Ampère's law. The discussion extends to scenarios involving current-carrying straight wires and solenoids, highlighting the relationship between current, magnetic fields, and the circulation of B fields. The lecture concludes with a practical application of Ampère's law to calculate the magnetic field within a solenoid.