Ampère's Law and Magnetic Field Circulation

This lecture covers Ampère's law, explaining how to interpret and apply it, relate a magnetic field to a current, and understand the field distribution around a solenoid. It also introduces Gauss's law of magnetostatics and two further Maxwell equations. The differential and integral forms of Ampère's law are discussed, along with the concept of Amperian loops. Illustrations are provided to demonstrate the application of Ampère's law. The lecture further explores the equivalence of line integrals and the circulation of the magnetic field. The differential form of Ampère's law and the concept of the circulation of the magnetic field are also explained, highlighting the differences between electric and magnetic field vectors.