Aula 19: Dedução formal da Lei de Ampère

In this lesson, we perform the traditional derivation of Ampère's Law from Biot-Savart's Law. Its objective in this course is to encourage students to "think about Electromagnetism" beyond the basic application of the equations, which is the main focus of the standard Physics 3 courses. Students who wish to continue with the standard Basic Electromagnetism course can watch only the first 14:00 minutes of the video. This lesson has the following sequence of topics: 1. Basic comments about Ampère's Law and its mathematical form; 2. Comparative table between Electrostatics and Magnetostatics and analogy between Gauss's Law and Ampère's Law; 3. Generalization of Biot-Savart's Law for surface and volume currents; 4. Helmholtz's Theorem, divergence and curl; 5. Calculation of the magnetic field divergence; 6. Calculation of the magnetic field curl; 7. Derivation of Ampère's Law via Stokes' Theorem.